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Finding the Third Proportional to 270,972 and 402,543

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Solution

The third proportional to 270,972 and 402,543 is: 597,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,972 : 402,543 = 402,543 : x
  2. Step 2: Convert to fraction form
    270,972/402,543 = 402,543/x
  3. Step 3: Cross multiply
    270,972x = 402,543 × 402,543
  4. Step 4: Simplify right side
    270,972x = 162,040,866,849
  5. Step 5: Solve for x
    x = 162,040,866,849/270,972
  6. Step 6: Final answer
    x = 597,998.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.