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Finding the Third Proportional to 32,484 and 72,346.50

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Solution

The third proportional to 32,484 and 72,346.50 is: 161,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484 : 72,346.50 = 72,346.50 : x
  2. Step 2: Convert to fraction form
    32,484/72,346.50 = 72,346.50/x
  3. Step 3: Cross multiply
    32,484x = 72,346.50 × 72,346.50
  4. Step 4: Simplify right side
    32,484x = 5,234,016,062.25
  5. Step 5: Solve for x
    x = 5,234,016,062.25/32,484
  6. Step 6: Final answer
    x = 161,125.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.