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Finding the Third Proportional to 207,963,120 and 290,730,312

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Solution

The third proportional to 207,963,120 and 290,730,312 is: 406,437,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,963,120 : 290,730,312 = 290,730,312 : x
  2. Step 2: Convert to fraction form
    207,963,120/290,730,312 = 290,730,312/x
  3. Step 3: Cross multiply
    207,963,120x = 290,730,312 × 290,730,312
  4. Step 4: Simplify right side
    207,963,120x = 84,524,114,315,617,344
  5. Step 5: Solve for x
    x = 84,524,114,315,617,344/207,963,120
  6. Step 6: Final answer
    x = 406,437,998.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.