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Finding the Third Proportional to 101,985.75 and 220,921

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Solution

The third proportional to 101,985.75 and 220,921 is: 478,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,985.75 : 220,921 = 220,921 : x
  2. Step 2: Convert to fraction form
    101,985.75/220,921 = 220,921/x
  3. Step 3: Cross multiply
    101,985.75x = 220,921 × 220,921
  4. Step 4: Simplify right side
    101,985.75x = 48,806,088,241
  5. Step 5: Solve for x
    x = 48,806,088,241/101,985.75
  6. Step 6: Final answer
    x = 478,557.92

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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.