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Finding the Third Proportional to 270,731 and 396,862

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Solution

The third proportional to 270,731 and 396,862 is: 581,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,731 : 396,862 = 396,862 : x
  2. Step 2: Convert to fraction form
    270,731/396,862 = 396,862/x
  3. Step 3: Cross multiply
    270,731x = 396,862 × 396,862
  4. Step 4: Simplify right side
    270,731x = 157,499,447,044
  5. Step 5: Solve for x
    x = 157,499,447,044/270,731
  6. Step 6: Final answer
    x = 581,756.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.