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Finding the Third Proportional to 32,486 and 71,047

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Solution

The third proportional to 32,486 and 71,047 is: 155,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486 : 71,047 = 71,047 : x
  2. Step 2: Convert to fraction form
    32,486/71,047 = 71,047/x
  3. Step 3: Cross multiply
    32,486x = 71,047 × 71,047
  4. Step 4: Simplify right side
    32,486x = 5,047,676,209
  5. Step 5: Solve for x
    x = 5,047,676,209/32,486
  6. Step 6: Final answer
    x = 155,380.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.