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Finding the Third Proportional to 272,478.46 and 425,273.49

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Solution

The third proportional to 272,478.46 and 425,273.49 is: 663,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,478.46 : 425,273.49 = 425,273.49 : x
  2. Step 2: Convert to fraction form
    272,478.46/425,273.49 = 425,273.49/x
  3. Step 3: Cross multiply
    272,478.46x = 425,273.49 × 425,273.49
  4. Step 4: Simplify right side
    272,478.46x = 180,857,543,987.96
  5. Step 5: Solve for x
    x = 180,857,543,987.96/272,478.46
  6. Step 6: Final answer
    x = 663,749.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.