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Finding the Third Proportional to 198,432 and 430,416

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Solution

The third proportional to 198,432 and 430,416 is: 933,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,432 : 430,416 = 430,416 : x
  2. Step 2: Convert to fraction form
    198,432/430,416 = 430,416/x
  3. Step 3: Cross multiply
    198,432x = 430,416 × 430,416
  4. Step 4: Simplify right side
    198,432x = 185,257,933,056
  5. Step 5: Solve for x
    x = 185,257,933,056/198,432
  6. Step 6: Final answer
    x = 933,609.16

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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.