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Finding the Third Proportional to 285,194 and 398,743

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Solution

The third proportional to 285,194 and 398,743 is: 557,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,194 : 398,743 = 398,743 : x
  2. Step 2: Convert to fraction form
    285,194/398,743 = 398,743/x
  3. Step 3: Cross multiply
    285,194x = 398,743 × 398,743
  4. Step 4: Simplify right side
    285,194x = 158,995,980,049
  5. Step 5: Solve for x
    x = 158,995,980,049/285,194
  6. Step 6: Final answer
    x = 557,501.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.