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Finding the Third Proportional to 86,585 and 138,319

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Solution

The third proportional to 86,585 and 138,319 is: 220,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,585 : 138,319 = 138,319 : x
  2. Step 2: Convert to fraction form
    86,585/138,319 = 138,319/x
  3. Step 3: Cross multiply
    86,585x = 138,319 × 138,319
  4. Step 4: Simplify right side
    86,585x = 19,132,145,761
  5. Step 5: Solve for x
    x = 19,132,145,761/86,585
  6. Step 6: Final answer
    x = 220,963.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.