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Finding the Third Proportional to 261,933 and 387,990

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Solution

The third proportional to 261,933 and 387,990 is: 574,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,933 : 387,990 = 387,990 : x
  2. Step 2: Convert to fraction form
    261,933/387,990 = 387,990/x
  3. Step 3: Cross multiply
    261,933x = 387,990 × 387,990
  4. Step 4: Simplify right side
    261,933x = 150,536,240,100
  5. Step 5: Solve for x
    x = 150,536,240,100/261,933
  6. Step 6: Final answer
    x = 574,712.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.