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Finding the Third Proportional to 242,055 and 517,347

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Solution

The third proportional to 242,055 and 517,347 is: 1,105,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,055 : 517,347 = 517,347 : x
  2. Step 2: Convert to fraction form
    242,055/517,347 = 517,347/x
  3. Step 3: Cross multiply
    242,055x = 517,347 × 517,347
  4. Step 4: Simplify right side
    242,055x = 267,647,918,409
  5. Step 5: Solve for x
    x = 267,647,918,409/242,055
  6. Step 6: Final answer
    x = 1,105,731.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.