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Finding the Third Proportional to 39,712 and 78,416

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Solution

The third proportional to 39,712 and 78,416 is: 154,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,712 : 78,416 = 78,416 : x
  2. Step 2: Convert to fraction form
    39,712/78,416 = 78,416/x
  3. Step 3: Cross multiply
    39,712x = 78,416 × 78,416
  4. Step 4: Simplify right side
    39,712x = 6,149,069,056
  5. Step 5: Solve for x
    x = 6,149,069,056/39,712
  6. Step 6: Final answer
    x = 154,841.59

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.