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Finding the Third Proportional to 2,721.09 and 4,187.95

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Solution

The third proportional to 2,721.09 and 4,187.95 is: 6,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.09 : 4,187.95 = 4,187.95 : x
  2. Step 2: Convert to fraction form
    2,721.09/4,187.95 = 4,187.95/x
  3. Step 3: Cross multiply
    2,721.09x = 4,187.95 × 4,187.95
  4. Step 4: Simplify right side
    2,721.09x = 17,538,951.38
  5. Step 5: Solve for x
    x = 17,538,951.38/2,721.09
  6. Step 6: Final answer
    x = 6,445.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.