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Finding the Third Proportional to 61,855.50 and 137,877

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Solution

The third proportional to 61,855.50 and 137,877 is: 307,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,855.50 : 137,877 = 137,877 : x
  2. Step 2: Convert to fraction form
    61,855.50/137,877 = 137,877/x
  3. Step 3: Cross multiply
    61,855.50x = 137,877 × 137,877
  4. Step 4: Simplify right side
    61,855.50x = 19,010,067,129
  5. Step 5: Solve for x
    x = 19,010,067,129/61,855.50
  6. Step 6: Final answer
    x = 307,330.26

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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.