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Finding the Third Proportional to 90,139.50 and 140,123.25

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Solution

The third proportional to 90,139.50 and 140,123.25 is: 217,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,139.50 : 140,123.25 = 140,123.25 : x
  2. Step 2: Convert to fraction form
    90,139.50/140,123.25 = 140,123.25/x
  3. Step 3: Cross multiply
    90,139.50x = 140,123.25 × 140,123.25
  4. Step 4: Simplify right side
    90,139.50x = 19,634,525,190.56
  5. Step 5: Solve for x
    x = 19,634,525,190.56/90,139.50
  6. Step 6: Final answer
    x = 217,823.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.