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Finding the Third Proportional to 84,076.50 and 140,127.50

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Solution

The third proportional to 84,076.50 and 140,127.50 is: 233,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,076.50 : 140,127.50 = 140,127.50 : x
  2. Step 2: Convert to fraction form
    84,076.50/140,127.50 = 140,127.50/x
  3. Step 3: Cross multiply
    84,076.50x = 140,127.50 × 140,127.50
  4. Step 4: Simplify right side
    84,076.50x = 19,635,716,256.25
  5. Step 5: Solve for x
    x = 19,635,716,256.25/84,076.50
  6. Step 6: Final answer
    x = 233,545.83

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.