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Finding the Third Proportional to 387,888 and 599,112

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Solution

The third proportional to 387,888 and 599,112 is: 925,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,888 : 599,112 = 599,112 : x
  2. Step 2: Convert to fraction form
    387,888/599,112 = 599,112/x
  3. Step 3: Cross multiply
    387,888x = 599,112 × 599,112
  4. Step 4: Simplify right side
    387,888x = 358,935,188,544
  5. Step 5: Solve for x
    x = 358,935,188,544/387,888
  6. Step 6: Final answer
    x = 925,357.81

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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.