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Finding the Third Proportional to 100,640.50 and 159,160.50

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Solution

The third proportional to 100,640.50 and 159,160.50 is: 251,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,640.50 : 159,160.50 = 159,160.50 : x
  2. Step 2: Convert to fraction form
    100,640.50/159,160.50 = 159,160.50/x
  3. Step 3: Cross multiply
    100,640.50x = 159,160.50 × 159,160.50
  4. Step 4: Simplify right side
    100,640.50x = 25,332,064,760.25
  5. Step 5: Solve for x
    x = 25,332,064,760.25/100,640.50
  6. Step 6: Final answer
    x = 251,708.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.