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Finding the Third Proportional to 285,112 and 398,602

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Solution

The third proportional to 285,112 and 398,602 is: 557,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,112 : 398,602 = 398,602 : x
  2. Step 2: Convert to fraction form
    285,112/398,602 = 398,602/x
  3. Step 3: Cross multiply
    285,112x = 398,602 × 398,602
  4. Step 4: Simplify right side
    285,112x = 158,883,554,404
  5. Step 5: Solve for x
    x = 158,883,554,404/285,112
  6. Step 6: Final answer
    x = 557,267.16

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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.