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Finding the Third Proportional to 168,291 and 247,455

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Solution

The third proportional to 168,291 and 247,455 is: 363,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,291 : 247,455 = 247,455 : x
  2. Step 2: Convert to fraction form
    168,291/247,455 = 247,455/x
  3. Step 3: Cross multiply
    168,291x = 247,455 × 247,455
  4. Step 4: Simplify right side
    168,291x = 61,233,977,025
  5. Step 5: Solve for x
    x = 61,233,977,025/168,291
  6. Step 6: Final answer
    x = 363,857.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.