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Finding the Third Proportional to 72,425.81 and 156,908.81

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Solution

The third proportional to 72,425.81 and 156,908.81 is: 339,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,425.81 : 156,908.81 = 156,908.81 : x
  2. Step 2: Convert to fraction form
    72,425.81/156,908.81 = 156,908.81/x
  3. Step 3: Cross multiply
    72,425.81x = 156,908.81 × 156,908.81
  4. Step 4: Simplify right side
    72,425.81x = 24,620,375,440.16
  5. Step 5: Solve for x
    x = 24,620,375,440.16/72,425.81
  6. Step 6: Final answer
    x = 339,939.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.