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Finding the Third Proportional to 115,958 and 156,657

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Solution

The third proportional to 115,958 and 156,657 is: 211,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,958 : 156,657 = 156,657 : x
  2. Step 2: Convert to fraction form
    115,958/156,657 = 156,657/x
  3. Step 3: Cross multiply
    115,958x = 156,657 × 156,657
  4. Step 4: Simplify right side
    115,958x = 24,541,415,649
  5. Step 5: Solve for x
    x = 24,541,415,649/115,958
  6. Step 6: Final answer
    x = 211,640.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.