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Finding the Third Proportional to 442,993 and 687,241

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Solution

The third proportional to 442,993 and 687,241 is: 1,066,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,993 : 687,241 = 687,241 : x
  2. Step 2: Convert to fraction form
    442,993/687,241 = 687,241/x
  3. Step 3: Cross multiply
    442,993x = 687,241 × 687,241
  4. Step 4: Simplify right side
    442,993x = 472,300,192,081
  5. Step 5: Solve for x
    x = 472,300,192,081/442,993
  6. Step 6: Final answer
    x = 1,066,157.24

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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.