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Finding the Third Proportional to 55,940 and 87,312

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Solution

The third proportional to 55,940 and 87,312 is: 136,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,940 : 87,312 = 87,312 : x
  2. Step 2: Convert to fraction form
    55,940/87,312 = 87,312/x
  3. Step 3: Cross multiply
    55,940x = 87,312 × 87,312
  4. Step 4: Simplify right side
    55,940x = 7,623,385,344
  5. Step 5: Solve for x
    x = 7,623,385,344/55,940
  6. Step 6: Final answer
    x = 136,277.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.