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Finding the Third Proportional to 1,251.56 and 1,905.47

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Solution

The third proportional to 1,251.56 and 1,905.47 is: 2,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.56 : 1,905.47 = 1,905.47 : x
  2. Step 2: Convert to fraction form
    1,251.56/1,905.47 = 1,905.47/x
  3. Step 3: Cross multiply
    1,251.56x = 1,905.47 × 1,905.47
  4. Step 4: Simplify right side
    1,251.56x = 3,630,811.16
  5. Step 5: Solve for x
    x = 3,630,811.16/1,251.56
  6. Step 6: Final answer
    x = 2,901.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.