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Finding the Third Proportional to 281,862,822 and 431,218,566

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Solution

The third proportional to 281,862,822 and 431,218,566 is: 659,716,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,862,822 : 431,218,566 = 431,218,566 : x
  2. Step 2: Convert to fraction form
    281,862,822/431,218,566 = 431,218,566/x
  3. Step 3: Cross multiply
    281,862,822x = 431,218,566 × 431,218,566
  4. Step 4: Simplify right side
    281,862,822x = 185,949,451,663,096,352
  5. Step 5: Solve for x
    x = 185,949,451,663,096,352/281,862,822
  6. Step 6: Final answer
    x = 659,716,135.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.