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Finding the Third Proportional to 86,432 and 110,432

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Solution

The third proportional to 86,432 and 110,432 is: 141,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,432 : 110,432 = 110,432 : x
  2. Step 2: Convert to fraction form
    86,432/110,432 = 110,432/x
  3. Step 3: Cross multiply
    86,432x = 110,432 × 110,432
  4. Step 4: Simplify right side
    86,432x = 12,195,226,624
  5. Step 5: Solve for x
    x = 12,195,226,624/86,432
  6. Step 6: Final answer
    x = 141,096.20

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.