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Finding the Third Proportional to 71,720 and 166,664

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Solution

The third proportional to 71,720 and 166,664 is: 387,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720 : 166,664 = 166,664 : x
  2. Step 2: Convert to fraction form
    71,720/166,664 = 166,664/x
  3. Step 3: Cross multiply
    71,720x = 166,664 × 166,664
  4. Step 4: Simplify right side
    71,720x = 27,776,888,896
  5. Step 5: Solve for x
    x = 27,776,888,896/71,720
  6. Step 6: Final answer
    x = 387,296.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.