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Finding the Third Proportional to 131,153.75 and 202,542.50

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Solution

The third proportional to 131,153.75 and 202,542.50 is: 312,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,153.75 : 202,542.50 = 202,542.50 : x
  2. Step 2: Convert to fraction form
    131,153.75/202,542.50 = 202,542.50/x
  3. Step 3: Cross multiply
    131,153.75x = 202,542.50 × 202,542.50
  4. Step 4: Simplify right side
    131,153.75x = 41,023,464,306.25
  5. Step 5: Solve for x
    x = 41,023,464,306.25/131,153.75
  6. Step 6: Final answer
    x = 312,789.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.