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Finding the Third Proportional to 92,705 and 138,688

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Solution

The third proportional to 92,705 and 138,688 is: 207,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,705 : 138,688 = 138,688 : x
  2. Step 2: Convert to fraction form
    92,705/138,688 = 138,688/x
  3. Step 3: Cross multiply
    92,705x = 138,688 × 138,688
  4. Step 4: Simplify right side
    92,705x = 19,234,361,344
  5. Step 5: Solve for x
    x = 19,234,361,344/92,705
  6. Step 6: Final answer
    x = 207,479.22

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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.