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Finding the Third Proportional to 3,886.31 and 9,125.16

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Solution

The third proportional to 3,886.31 and 9,125.16 is: 21,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.31 : 9,125.16 = 9,125.16 : x
  2. Step 2: Convert to fraction form
    3,886.31/9,125.16 = 9,125.16/x
  3. Step 3: Cross multiply
    3,886.31x = 9,125.16 × 9,125.16
  4. Step 4: Simplify right side
    3,886.31x = 83,268,476.59
  5. Step 5: Solve for x
    x = 83,268,476.59/3,886.31
  6. Step 6: Final answer
    x = 21,426.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.