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Finding the Third Proportional to 113,103,312,288 and 168,674,149,717.50

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Solution

The third proportional to 113,103,312,288 and 168,674,149,717.50 is: 251,548,502,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,103,312,288 : 168,674,149,717.50 = 168,674,149,717.50 : x
  2. Step 2: Convert to fraction form
    113,103,312,288/168,674,149,717.50 = 168,674,149,717.50/x
  3. Step 3: Cross multiply
    113,103,312,288x = 168,674,149,717.50 × 168,674,149,717.50
  4. Step 4: Simplify right side
    113,103,312,288x = 28,450,968,782,921,604,792,320
  5. Step 5: Solve for x
    x = 28,450,968,782,921,604,792,320/113,103,312,288
  6. Step 6: Final answer
    x = 251,548,502,049.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.