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Finding the Third Proportional to 61,858 and 137,882

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Solution

The third proportional to 61,858 and 137,882 is: 307,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,858 : 137,882 = 137,882 : x
  2. Step 2: Convert to fraction form
    61,858/137,882 = 137,882/x
  3. Step 3: Cross multiply
    61,858x = 137,882 × 137,882
  4. Step 4: Simplify right side
    61,858x = 19,011,445,924
  5. Step 5: Solve for x
    x = 19,011,445,924/61,858
  6. Step 6: Final answer
    x = 307,340.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.