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Finding the Third Proportional to 145,512.19 and 217,372.13

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Solution

The third proportional to 145,512.19 and 217,372.13 is: 324,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,512.19 : 217,372.13 = 217,372.13 : x
  2. Step 2: Convert to fraction form
    145,512.19/217,372.13 = 217,372.13/x
  3. Step 3: Cross multiply
    145,512.19x = 217,372.13 × 217,372.13
  4. Step 4: Simplify right side
    145,512.19x = 47,250,640,727.02
  5. Step 5: Solve for x
    x = 47,250,640,727.02/145,512.19
  6. Step 6: Final answer
    x = 324,719.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.