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Finding the Third Proportional to 62,476 and 100,613

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Solution

The third proportional to 62,476 and 100,613 is: 162,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,476 : 100,613 = 100,613 : x
  2. Step 2: Convert to fraction form
    62,476/100,613 = 100,613/x
  3. Step 3: Cross multiply
    62,476x = 100,613 × 100,613
  4. Step 4: Simplify right side
    62,476x = 10,122,975,769
  5. Step 5: Solve for x
    x = 10,122,975,769/62,476
  6. Step 6: Final answer
    x = 162,029.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.