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Finding the Third Proportional to 20,220.75 and 40,988.25

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Solution

The third proportional to 20,220.75 and 40,988.25 is: 83,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220.75 : 40,988.25 = 40,988.25 : x
  2. Step 2: Convert to fraction form
    20,220.75/40,988.25 = 40,988.25/x
  3. Step 3: Cross multiply
    20,220.75x = 40,988.25 × 40,988.25
  4. Step 4: Simplify right side
    20,220.75x = 1,680,036,638.06
  5. Step 5: Solve for x
    x = 1,680,036,638.06/20,220.75
  6. Step 6: Final answer
    x = 83,084.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.