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Finding the Third Proportional to 92,011 and 139,397

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Solution

The third proportional to 92,011 and 139,397 is: 211,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,011 : 139,397 = 139,397 : x
  2. Step 2: Convert to fraction form
    92,011/139,397 = 139,397/x
  3. Step 3: Cross multiply
    92,011x = 139,397 × 139,397
  4. Step 4: Simplify right side
    92,011x = 19,431,523,609
  5. Step 5: Solve for x
    x = 19,431,523,609/92,011
  6. Step 6: Final answer
    x = 211,186.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.