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Finding the Third Proportional to 138,522.76 and 303,319.16

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Solution

The third proportional to 138,522.76 and 303,319.16 is: 664,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,522.76 : 303,319.16 = 303,319.16 : x
  2. Step 2: Convert to fraction form
    138,522.76/303,319.16 = 303,319.16/x
  3. Step 3: Cross multiply
    138,522.76x = 303,319.16 × 303,319.16
  4. Step 4: Simplify right side
    138,522.76x = 92,002,512,917.89
  5. Step 5: Solve for x
    x = 92,002,512,917.89/138,522.76
  6. Step 6: Final answer
    x = 664,168.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.