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Finding the Third Proportional to 387,734 and 568,821

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Solution

The third proportional to 387,734 and 568,821 is: 834,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,734 : 568,821 = 568,821 : x
  2. Step 2: Convert to fraction form
    387,734/568,821 = 568,821/x
  3. Step 3: Cross multiply
    387,734x = 568,821 × 568,821
  4. Step 4: Simplify right side
    387,734x = 323,557,330,041
  5. Step 5: Solve for x
    x = 323,557,330,041/387,734
  6. Step 6: Final answer
    x = 834,482.74

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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.