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Finding the Third Proportional to 39,974 and 86,572

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Solution

The third proportional to 39,974 and 86,572 is: 187,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,974 : 86,572 = 86,572 : x
  2. Step 2: Convert to fraction form
    39,974/86,572 = 86,572/x
  3. Step 3: Cross multiply
    39,974x = 86,572 × 86,572
  4. Step 4: Simplify right side
    39,974x = 7,494,711,184
  5. Step 5: Solve for x
    x = 7,494,711,184/39,974
  6. Step 6: Final answer
    x = 187,489.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.