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Finding the Third Proportional to 387,840 and 600,192

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Solution

The third proportional to 387,840 and 600,192 is: 928,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,840 : 600,192 = 600,192 : x
  2. Step 2: Convert to fraction form
    387,840/600,192 = 600,192/x
  3. Step 3: Cross multiply
    387,840x = 600,192 × 600,192
  4. Step 4: Simplify right side
    387,840x = 360,230,436,864
  5. Step 5: Solve for x
    x = 360,230,436,864/387,840
  6. Step 6: Final answer
    x = 928,811.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.