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Finding the Third Proportional to 259,746,066 and 389,960,766

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Solution

The third proportional to 259,746,066 and 389,960,766 is: 585,454,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,746,066 : 389,960,766 = 389,960,766 : x
  2. Step 2: Convert to fraction form
    259,746,066/389,960,766 = 389,960,766/x
  3. Step 3: Cross multiply
    259,746,066x = 389,960,766 × 389,960,766
  4. Step 4: Simplify right side
    259,746,066x = 152,069,399,019,306,752
  5. Step 5: Solve for x
    x = 152,069,399,019,306,752/259,746,066
  6. Step 6: Final answer
    x = 585,454,098.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.