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Finding the Third Proportional to 57,131.25 and 86,913

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Solution

The third proportional to 57,131.25 and 86,913 is: 132,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,131.25 : 86,913 = 86,913 : x
  2. Step 2: Convert to fraction form
    57,131.25/86,913 = 86,913/x
  3. Step 3: Cross multiply
    57,131.25x = 86,913 × 86,913
  4. Step 4: Simplify right side
    57,131.25x = 7,553,869,569
  5. Step 5: Solve for x
    x = 7,553,869,569/57,131.25
  6. Step 6: Final answer
    x = 132,219.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.