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Finding the Third Proportional to 62,840 and 132,143

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Solution

The third proportional to 62,840 and 132,143 is: 277,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,840 : 132,143 = 132,143 : x
  2. Step 2: Convert to fraction form
    62,840/132,143 = 132,143/x
  3. Step 3: Cross multiply
    62,840x = 132,143 × 132,143
  4. Step 4: Simplify right side
    62,840x = 17,461,772,449
  5. Step 5: Solve for x
    x = 17,461,772,449/62,840
  6. Step 6: Final answer
    x = 277,876.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.