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Finding the Third Proportional to 308,724 and 655,344

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Solution

The third proportional to 308,724 and 655,344 is: 1,391,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,724 : 655,344 = 655,344 : x
  2. Step 2: Convert to fraction form
    308,724/655,344 = 655,344/x
  3. Step 3: Cross multiply
    308,724x = 655,344 × 655,344
  4. Step 4: Simplify right side
    308,724x = 429,475,758,336
  5. Step 5: Solve for x
    x = 429,475,758,336/308,724
  6. Step 6: Final answer
    x = 1,391,131.75

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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.