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Finding the Third Proportional to 115,543 and 156,988

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Solution

The third proportional to 115,543 and 156,988 is: 213,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,543 : 156,988 = 156,988 : x
  2. Step 2: Convert to fraction form
    115,543/156,988 = 156,988/x
  3. Step 3: Cross multiply
    115,543x = 156,988 × 156,988
  4. Step 4: Simplify right side
    115,543x = 24,645,232,144
  5. Step 5: Solve for x
    x = 24,645,232,144/115,543
  6. Step 6: Final answer
    x = 213,299.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.