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Finding the Third Proportional to 194,987,088.75 and 420,687,312

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Solution

The third proportional to 194,987,088.75 and 420,687,312 is: 907,638,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,987,088.75 : 420,687,312 = 420,687,312 : x
  2. Step 2: Convert to fraction form
    194,987,088.75/420,687,312 = 420,687,312/x
  3. Step 3: Cross multiply
    194,987,088.75x = 420,687,312 × 420,687,312
  4. Step 4: Simplify right side
    194,987,088.75x = 176,977,814,477,785,344
  5. Step 5: Solve for x
    x = 176,977,814,477,785,344/194,987,088.75
  6. Step 6: Final answer
    x = 907,638,631.93

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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.