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Finding the Third Proportional to 100,432.50 and 218,805.75

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Solution

The third proportional to 100,432.50 and 218,805.75 is: 476,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.50 : 218,805.75 = 218,805.75 : x
  2. Step 2: Convert to fraction form
    100,432.50/218,805.75 = 218,805.75/x
  3. Step 3: Cross multiply
    100,432.50x = 218,805.75 × 218,805.75
  4. Step 4: Simplify right side
    100,432.50x = 47,875,956,233.06
  5. Step 5: Solve for x
    x = 47,875,956,233.06/100,432.50
  6. Step 6: Final answer
    x = 476,697.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.