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Finding the Third Proportional to 42,232 and 66,869

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Solution

The third proportional to 42,232 and 66,869 is: 105,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,232 : 66,869 = 66,869 : x
  2. Step 2: Convert to fraction form
    42,232/66,869 = 66,869/x
  3. Step 3: Cross multiply
    42,232x = 66,869 × 66,869
  4. Step 4: Simplify right side
    42,232x = 4,471,463,161
  5. Step 5: Solve for x
    x = 4,471,463,161/42,232
  6. Step 6: Final answer
    x = 105,878.56

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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.