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Finding the Third Proportional to 242,669 and 372,455

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Solution

The third proportional to 242,669 and 372,455 is: 571,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,669 : 372,455 = 372,455 : x
  2. Step 2: Convert to fraction form
    242,669/372,455 = 372,455/x
  3. Step 3: Cross multiply
    242,669x = 372,455 × 372,455
  4. Step 4: Simplify right side
    242,669x = 138,722,727,025
  5. Step 5: Solve for x
    x = 138,722,727,025/242,669
  6. Step 6: Final answer
    x = 571,654.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.