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Finding the Third Proportional to 31,788,357 and 68,658,571.50

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Solution

The third proportional to 31,788,357 and 68,658,571.50 is: 148,293,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788,357 : 68,658,571.50 = 68,658,571.50 : x
  2. Step 2: Convert to fraction form
    31,788,357/68,658,571.50 = 68,658,571.50/x
  3. Step 3: Cross multiply
    31,788,357x = 68,658,571.50 × 68,658,571.50
  4. Step 4: Simplify right side
    31,788,357x = 4,713,999,440,420,612
  5. Step 5: Solve for x
    x = 4,713,999,440,420,612/31,788,357
  6. Step 6: Final answer
    x = 148,293,271.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.