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Finding the Third Proportional to 252,357 and 387,890

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Solution

The third proportional to 252,357 and 387,890 is: 596,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,357 : 387,890 = 387,890 : x
  2. Step 2: Convert to fraction form
    252,357/387,890 = 387,890/x
  3. Step 3: Cross multiply
    252,357x = 387,890 × 387,890
  4. Step 4: Simplify right side
    252,357x = 150,458,652,100
  5. Step 5: Solve for x
    x = 150,458,652,100/252,357
  6. Step 6: Final answer
    x = 596,213.51

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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.