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Finding the Third Proportional to 90,747 and 140,197.50

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Solution

The third proportional to 90,747 and 140,197.50 is: 216,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,747 : 140,197.50 = 140,197.50 : x
  2. Step 2: Convert to fraction form
    90,747/140,197.50 = 140,197.50/x
  3. Step 3: Cross multiply
    90,747x = 140,197.50 × 140,197.50
  4. Step 4: Simplify right side
    90,747x = 19,655,339,006.25
  5. Step 5: Solve for x
    x = 19,655,339,006.25/90,747
  6. Step 6: Final answer
    x = 216,594.92

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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.