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Finding the Third Proportional to 100,020.38 and 217,211.63

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Solution

The third proportional to 100,020.38 and 217,211.63 is: 471,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020.38 : 217,211.63 = 217,211.63 : x
  2. Step 2: Convert to fraction form
    100,020.38/217,211.63 = 217,211.63/x
  3. Step 3: Cross multiply
    100,020.38x = 217,211.63 × 217,211.63
  4. Step 4: Simplify right side
    100,020.38x = 47,180,890,035.14
  5. Step 5: Solve for x
    x = 47,180,890,035.14/100,020.38
  6. Step 6: Final answer
    x = 471,712.79

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1.5x scale

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.