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Finding the Third Proportional to 39,717 and 78,426

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Solution

The third proportional to 39,717 and 78,426 is: 154,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,717 : 78,426 = 78,426 : x
  2. Step 2: Convert to fraction form
    39,717/78,426 = 78,426/x
  3. Step 3: Cross multiply
    39,717x = 78,426 × 78,426
  4. Step 4: Simplify right side
    39,717x = 6,150,637,476
  5. Step 5: Solve for x
    x = 6,150,637,476/39,717
  6. Step 6: Final answer
    x = 154,861.58

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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.