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Finding the Third Proportional to 91,444.50 and 140,751

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Solution

The third proportional to 91,444.50 and 140,751 is: 216,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,444.50 : 140,751 = 140,751 : x
  2. Step 2: Convert to fraction form
    91,444.50/140,751 = 140,751/x
  3. Step 3: Cross multiply
    91,444.50x = 140,751 × 140,751
  4. Step 4: Simplify right side
    91,444.50x = 19,810,844,001
  5. Step 5: Solve for x
    x = 19,810,844,001/91,444.50
  6. Step 6: Final answer
    x = 216,643.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.