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Finding the Third Proportional to 20,938.50 and 42,987.38

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Solution

The third proportional to 20,938.50 and 42,987.38 is: 88,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.50 : 42,987.38 = 42,987.38 : x
  2. Step 2: Convert to fraction form
    20,938.50/42,987.38 = 42,987.38/x
  3. Step 3: Cross multiply
    20,938.50x = 42,987.38 × 42,987.38
  4. Step 4: Simplify right side
    20,938.50x = 1,847,914,409.39
  5. Step 5: Solve for x
    x = 1,847,914,409.39/20,938.50
  6. Step 6: Final answer
    x = 88,254.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.