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Finding the Third Proportional to 38,721 and 54,220.50

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Solution

The third proportional to 38,721 and 54,220.50 is: 75,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,721 : 54,220.50 = 54,220.50 : x
  2. Step 2: Convert to fraction form
    38,721/54,220.50 = 54,220.50/x
  3. Step 3: Cross multiply
    38,721x = 54,220.50 × 54,220.50
  4. Step 4: Simplify right side
    38,721x = 2,939,862,620.25
  5. Step 5: Solve for x
    x = 2,939,862,620.25/38,721
  6. Step 6: Final answer
    x = 75,924.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.