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Finding the Third Proportional to 287,024 and 394,008

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Solution

The third proportional to 287,024 and 394,008 is: 540,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,024 : 394,008 = 394,008 : x
  2. Step 2: Convert to fraction form
    287,024/394,008 = 394,008/x
  3. Step 3: Cross multiply
    287,024x = 394,008 × 394,008
  4. Step 4: Simplify right side
    287,024x = 155,242,304,064
  5. Step 5: Solve for x
    x = 155,242,304,064/287,024
  6. Step 6: Final answer
    x = 540,868.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.