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Finding the Third Proportional to 387,756 and 568,872

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Solution

The third proportional to 387,756 and 568,872 is: 834,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,756 : 568,872 = 568,872 : x
  2. Step 2: Convert to fraction form
    387,756/568,872 = 568,872/x
  3. Step 3: Cross multiply
    387,756x = 568,872 × 568,872
  4. Step 4: Simplify right side
    387,756x = 323,615,352,384
  5. Step 5: Solve for x
    x = 323,615,352,384/387,756
  6. Step 6: Final answer
    x = 834,585.03

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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.