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Finding the Third Proportional to 101,432 and 218,416

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Solution

The third proportional to 101,432 and 218,416 is: 470,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432 : 218,416 = 218,416 : x
  2. Step 2: Convert to fraction form
    101,432/218,416 = 218,416/x
  3. Step 3: Cross multiply
    101,432x = 218,416 × 218,416
  4. Step 4: Simplify right side
    101,432x = 47,705,549,056
  5. Step 5: Solve for x
    x = 47,705,549,056/101,432
  6. Step 6: Final answer
    x = 470,320.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.