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Finding the Third Proportional to 20,275.31 and 27,121.08

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Solution

The third proportional to 20,275.31 and 27,121.08 is: 36,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.31 : 27,121.08 = 27,121.08 : x
  2. Step 2: Convert to fraction form
    20,275.31/27,121.08 = 27,121.08/x
  3. Step 3: Cross multiply
    20,275.31x = 27,121.08 × 27,121.08
  4. Step 4: Simplify right side
    20,275.31x = 735,552,878.66
  5. Step 5: Solve for x
    x = 735,552,878.66/20,275.31
  6. Step 6: Final answer
    x = 36,278.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.