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Finding the Third Proportional to 438,880 and 655,449

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Solution

The third proportional to 438,880 and 655,449 is: 978,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,880 : 655,449 = 655,449 : x
  2. Step 2: Convert to fraction form
    438,880/655,449 = 655,449/x
  3. Step 3: Cross multiply
    438,880x = 655,449 × 655,449
  4. Step 4: Simplify right side
    438,880x = 429,613,391,601
  5. Step 5: Solve for x
    x = 429,613,391,601/438,880
  6. Step 6: Final answer
    x = 978,885.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.