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Finding the Third Proportional to 386,990 and 597,738

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Solution

The third proportional to 386,990 and 597,738 is: 923,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,990 : 597,738 = 597,738 : x
  2. Step 2: Convert to fraction form
    386,990/597,738 = 597,738/x
  3. Step 3: Cross multiply
    386,990x = 597,738 × 597,738
  4. Step 4: Simplify right side
    386,990x = 357,290,716,644
  5. Step 5: Solve for x
    x = 357,290,716,644/386,990
  6. Step 6: Final answer
    x = 923,255.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.