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Finding the Third Proportional to 15,415.31 and 31,924.13

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Solution

The third proportional to 15,415.31 and 31,924.13 is: 66,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.31 : 31,924.13 = 31,924.13 : x
  2. Step 2: Convert to fraction form
    15,415.31/31,924.13 = 31,924.13/x
  3. Step 3: Cross multiply
    15,415.31x = 31,924.13 × 31,924.13
  4. Step 4: Simplify right side
    15,415.31x = 1,019,149,757.02
  5. Step 5: Solve for x
    x = 1,019,149,757.02/15,415.31
  6. Step 6: Final answer
    x = 66,112.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.