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Finding the Third Proportional to 32,902.50 and 72,363

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Solution

The third proportional to 32,902.50 and 72,363 is: 159,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.50 : 72,363 = 72,363 : x
  2. Step 2: Convert to fraction form
    32,902.50/72,363 = 72,363/x
  3. Step 3: Cross multiply
    32,902.50x = 72,363 × 72,363
  4. Step 4: Simplify right side
    32,902.50x = 5,236,403,769
  5. Step 5: Solve for x
    x = 5,236,403,769/32,902.50
  6. Step 6: Final answer
    x = 159,149.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.