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Finding the Third Proportional to 86,214 and 129,423

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Solution

The third proportional to 86,214 and 129,423 is: 194,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,214 : 129,423 = 129,423 : x
  2. Step 2: Convert to fraction form
    86,214/129,423 = 129,423/x
  3. Step 3: Cross multiply
    86,214x = 129,423 × 129,423
  4. Step 4: Simplify right side
    86,214x = 16,750,312,929
  5. Step 5: Solve for x
    x = 16,750,312,929/86,214
  6. Step 6: Final answer
    x = 194,287.62

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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.