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Finding the Third Proportional to 206,876,448 and 309,744,864

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Solution

The third proportional to 206,876,448 and 309,744,864 is: 463,764,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,448 : 309,744,864 = 309,744,864 : x
  2. Step 2: Convert to fraction form
    206,876,448/309,744,864 = 309,744,864/x
  3. Step 3: Cross multiply
    206,876,448x = 309,744,864 × 309,744,864
  4. Step 4: Simplify right side
    206,876,448x = 95,941,880,774,378,496
  5. Step 5: Solve for x
    x = 95,941,880,774,378,496/206,876,448
  6. Step 6: Final answer
    x = 463,764,153.44

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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.