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Finding the Third Proportional to 39,871 and 81,585

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Solution

The third proportional to 39,871 and 81,585 is: 166,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,871 : 81,585 = 81,585 : x
  2. Step 2: Convert to fraction form
    39,871/81,585 = 81,585/x
  3. Step 3: Cross multiply
    39,871x = 81,585 × 81,585
  4. Step 4: Simplify right side
    39,871x = 6,656,112,225
  5. Step 5: Solve for x
    x = 6,656,112,225/39,871
  6. Step 6: Final answer
    x = 166,941.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.