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Finding the Third Proportional to 77,537.25 and 122,988.38

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Solution

The third proportional to 77,537.25 and 122,988.38 is: 195,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,537.25 : 122,988.38 = 122,988.38 : x
  2. Step 2: Convert to fraction form
    77,537.25/122,988.38 = 122,988.38/x
  3. Step 3: Cross multiply
    77,537.25x = 122,988.38 × 122,988.38
  4. Step 4: Simplify right side
    77,537.25x = 15,126,140,385.14
  5. Step 5: Solve for x
    x = 15,126,140,385.14/77,537.25
  6. Step 6: Final answer
    x = 195,082.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.