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Finding the Third Proportional to 71,642.25 and 153,857.25

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Solution

The third proportional to 71,642.25 and 153,857.25 is: 330,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,642.25 : 153,857.25 = 153,857.25 : x
  2. Step 2: Convert to fraction form
    71,642.25/153,857.25 = 153,857.25/x
  3. Step 3: Cross multiply
    71,642.25x = 153,857.25 × 153,857.25
  4. Step 4: Simplify right side
    71,642.25x = 23,672,053,377.56
  5. Step 5: Solve for x
    x = 23,672,053,377.56/71,642.25
  6. Step 6: Final answer
    x = 330,420.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.