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Finding the Third Proportional to 86,490 and 131,479

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Solution

The third proportional to 86,490 and 131,479 is: 199,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490 : 131,479 = 131,479 : x
  2. Step 2: Convert to fraction form
    86,490/131,479 = 131,479/x
  3. Step 3: Cross multiply
    86,490x = 131,479 × 131,479
  4. Step 4: Simplify right side
    86,490x = 17,286,727,441
  5. Step 5: Solve for x
    x = 17,286,727,441/86,490
  6. Step 6: Final answer
    x = 199,869.67

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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.