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Finding the Third Proportional to 308,704 and 655,304

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Solution

The third proportional to 308,704 and 655,304 is: 1,391,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,704 : 655,304 = 655,304 : x
  2. Step 2: Convert to fraction form
    308,704/655,304 = 655,304/x
  3. Step 3: Cross multiply
    308,704x = 655,304 × 655,304
  4. Step 4: Simplify right side
    308,704x = 429,423,332,416
  5. Step 5: Solve for x
    x = 429,423,332,416/308,704
  6. Step 6: Final answer
    x = 1,391,052.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.