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Finding the Third Proportional to 61,859 and 137,884

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Solution

The third proportional to 61,859 and 137,884 is: 307,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,859 : 137,884 = 137,884 : x
  2. Step 2: Convert to fraction form
    61,859/137,884 = 137,884/x
  3. Step 3: Cross multiply
    61,859x = 137,884 × 137,884
  4. Step 4: Simplify right side
    61,859x = 19,011,997,456
  5. Step 5: Solve for x
    x = 19,011,997,456/61,859
  6. Step 6: Final answer
    x = 307,344.08

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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.