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Finding the Third Proportional to 42,680 and 66,954

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Solution

The third proportional to 42,680 and 66,954 is: 105,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,680 : 66,954 = 66,954 : x
  2. Step 2: Convert to fraction form
    42,680/66,954 = 66,954/x
  3. Step 3: Cross multiply
    42,680x = 66,954 × 66,954
  4. Step 4: Simplify right side
    42,680x = 4,482,838,116
  5. Step 5: Solve for x
    x = 4,482,838,116/42,680
  6. Step 6: Final answer
    x = 105,033.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.