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Finding the Third Proportional to 282,342 and 424,143

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Solution

The third proportional to 282,342 and 424,143 is: 637,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,342 : 424,143 = 424,143 : x
  2. Step 2: Convert to fraction form
    282,342/424,143 = 424,143/x
  3. Step 3: Cross multiply
    282,342x = 424,143 × 424,143
  4. Step 4: Simplify right side
    282,342x = 179,897,284,449
  5. Step 5: Solve for x
    x = 179,897,284,449/282,342
  6. Step 6: Final answer
    x = 637,160.91

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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.