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Finding the Third Proportional to 39,484 and 87,716

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Solution

The third proportional to 39,484 and 87,716 is: 194,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,484 : 87,716 = 87,716 : x
  2. Step 2: Convert to fraction form
    39,484/87,716 = 87,716/x
  3. Step 3: Cross multiply
    39,484x = 87,716 × 87,716
  4. Step 4: Simplify right side
    39,484x = 7,694,096,656
  5. Step 5: Solve for x
    x = 7,694,096,656/39,484
  6. Step 6: Final answer
    x = 194,866.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.