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Finding the Third Proportional to 242,561 and 361,471

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Solution

The third proportional to 242,561 and 361,471 is: 538,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,561 : 361,471 = 361,471 : x
  2. Step 2: Convert to fraction form
    242,561/361,471 = 361,471/x
  3. Step 3: Cross multiply
    242,561x = 361,471 × 361,471
  4. Step 4: Simplify right side
    242,561x = 130,661,283,841
  5. Step 5: Solve for x
    x = 130,661,283,841/242,561
  6. Step 6: Final answer
    x = 538,673.92

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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.