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Finding the Third Proportional to 42,278 and 66,896

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Solution

The third proportional to 42,278 and 66,896 is: 105,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,278 : 66,896 = 66,896 : x
  2. Step 2: Convert to fraction form
    42,278/66,896 = 66,896/x
  3. Step 3: Cross multiply
    42,278x = 66,896 × 66,896
  4. Step 4: Simplify right side
    42,278x = 4,475,074,816
  5. Step 5: Solve for x
    x = 4,475,074,816/42,278
  6. Step 6: Final answer
    x = 105,848.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.