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Finding the Third Proportional to 102,432 and 222,358

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Solution

The third proportional to 102,432 and 222,358 is: 482,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432 : 222,358 = 222,358 : x
  2. Step 2: Convert to fraction form
    102,432/222,358 = 222,358/x
  3. Step 3: Cross multiply
    102,432x = 222,358 × 222,358
  4. Step 4: Simplify right side
    102,432x = 49,443,080,164
  5. Step 5: Solve for x
    x = 49,443,080,164/102,432
  6. Step 6: Final answer
    x = 482,691.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.