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Finding the Third Proportional to 387,860 and 599,079

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Solution

The third proportional to 387,860 and 599,079 is: 925,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,860 : 599,079 = 599,079 : x
  2. Step 2: Convert to fraction form
    387,860/599,079 = 599,079/x
  3. Step 3: Cross multiply
    387,860x = 599,079 × 599,079
  4. Step 4: Simplify right side
    387,860x = 358,895,648,241
  5. Step 5: Solve for x
    x = 358,895,648,241/387,860
  6. Step 6: Final answer
    x = 925,322.66

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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.