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Finding the Third Proportional to 387,828 and 568,974

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Solution

The third proportional to 387,828 and 568,974 is: 834,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,828 : 568,974 = 568,974 : x
  2. Step 2: Convert to fraction form
    387,828/568,974 = 568,974/x
  3. Step 3: Cross multiply
    387,828x = 568,974 × 568,974
  4. Step 4: Simplify right side
    387,828x = 323,731,412,676
  5. Step 5: Solve for x
    x = 323,731,412,676/387,828
  6. Step 6: Final answer
    x = 834,729.35

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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.