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Finding the Third Proportional to 71,220.75 and 166,387.50

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Solution

The third proportional to 71,220.75 and 166,387.50 is: 388,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,220.75 : 166,387.50 = 166,387.50 : x
  2. Step 2: Convert to fraction form
    71,220.75/166,387.50 = 166,387.50/x
  3. Step 3: Cross multiply
    71,220.75x = 166,387.50 × 166,387.50
  4. Step 4: Simplify right side
    71,220.75x = 27,684,800,156.25
  5. Step 5: Solve for x
    x = 27,684,800,156.25/71,220.75
  6. Step 6: Final answer
    x = 388,718.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.