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Finding the Third Proportional to 42,906.38 and 66,435.75

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Solution

The third proportional to 42,906.38 and 66,435.75 is: 102,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,906.38 : 66,435.75 = 66,435.75 : x
  2. Step 2: Convert to fraction form
    42,906.38/66,435.75 = 66,435.75/x
  3. Step 3: Cross multiply
    42,906.38x = 66,435.75 × 66,435.75
  4. Step 4: Simplify right side
    42,906.38x = 4,413,708,878.06
  5. Step 5: Solve for x
    x = 4,413,708,878.06/42,906.38
  6. Step 6: Final answer
    x = 102,868.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.