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Finding the Third Proportional to 42,696 and 66,980

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Solution

The third proportional to 42,696 and 66,980 is: 105,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,696 : 66,980 = 66,980 : x
  2. Step 2: Convert to fraction form
    42,696/66,980 = 66,980/x
  3. Step 3: Cross multiply
    42,696x = 66,980 × 66,980
  4. Step 4: Simplify right side
    42,696x = 4,486,320,400
  5. Step 5: Solve for x
    x = 4,486,320,400/42,696
  6. Step 6: Final answer
    x = 105,075.89

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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.