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Finding the Third Proportional to 387,830 and 568,977

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Solution

The third proportional to 387,830 and 568,977 is: 834,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,830 : 568,977 = 568,977 : x
  2. Step 2: Convert to fraction form
    387,830/568,977 = 568,977/x
  3. Step 3: Cross multiply
    387,830x = 568,977 × 568,977
  4. Step 4: Simplify right side
    387,830x = 323,734,826,529
  5. Step 5: Solve for x
    x = 323,734,826,529/387,830
  6. Step 6: Final answer
    x = 834,733.84

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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.