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Finding the Third Proportional to 92,310 and 138,311

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Solution

The third proportional to 92,310 and 138,311 is: 207,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,310 : 138,311 = 138,311 : x
  2. Step 2: Convert to fraction form
    92,310/138,311 = 138,311/x
  3. Step 3: Cross multiply
    92,310x = 138,311 × 138,311
  4. Step 4: Simplify right side
    92,310x = 19,129,932,721
  5. Step 5: Solve for x
    x = 19,129,932,721/92,310
  6. Step 6: Final answer
    x = 207,235.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.