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Finding the Third Proportional to 31,543 and 68,989

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Solution

The third proportional to 31,543 and 68,989 is: 150,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543 : 68,989 = 68,989 : x
  2. Step 2: Convert to fraction form
    31,543/68,989 = 68,989/x
  3. Step 3: Cross multiply
    31,543x = 68,989 × 68,989
  4. Step 4: Simplify right side
    31,543x = 4,759,482,121
  5. Step 5: Solve for x
    x = 4,759,482,121/31,543
  6. Step 6: Final answer
    x = 150,888.70

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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.