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Finding the Third Proportional to 282,347 and 424,151

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Solution

The third proportional to 282,347 and 424,151 is: 637,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,347 : 424,151 = 424,151 : x
  2. Step 2: Convert to fraction form
    282,347/424,151 = 424,151/x
  3. Step 3: Cross multiply
    282,347x = 424,151 × 424,151
  4. Step 4: Simplify right side
    282,347x = 179,904,070,801
  5. Step 5: Solve for x
    x = 179,904,070,801/282,347
  6. Step 6: Final answer
    x = 637,173.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.