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Finding the Third Proportional to 131,640.19 and 282,972.38

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Solution

The third proportional to 131,640.19 and 282,972.38 is: 608,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,640.19 : 282,972.38 = 282,972.38 : x
  2. Step 2: Convert to fraction form
    131,640.19/282,972.38 = 282,972.38/x
  3. Step 3: Cross multiply
    131,640.19x = 282,972.38 × 282,972.38
  4. Step 4: Simplify right side
    131,640.19x = 80,073,365,013.14
  5. Step 5: Solve for x
    x = 80,073,365,013.14/131,640.19
  6. Step 6: Final answer
    x = 608,274.47

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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.