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Finding the Third Proportional to 39,424 and 87,605

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Solution

The third proportional to 39,424 and 87,605 is: 194,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,424 : 87,605 = 87,605 : x
  2. Step 2: Convert to fraction form
    39,424/87,605 = 87,605/x
  3. Step 3: Cross multiply
    39,424x = 87,605 × 87,605
  4. Step 4: Simplify right side
    39,424x = 7,674,636,025
  5. Step 5: Solve for x
    x = 7,674,636,025/39,424
  6. Step 6: Final answer
    x = 194,669.14

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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.