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Finding the Third Proportional to 285,276 and 398,811

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Solution

The third proportional to 285,276 and 398,811 is: 557,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,276 : 398,811 = 398,811 : x
  2. Step 2: Convert to fraction form
    285,276/398,811 = 398,811/x
  3. Step 3: Cross multiply
    285,276x = 398,811 × 398,811
  4. Step 4: Simplify right side
    285,276x = 159,050,213,721
  5. Step 5: Solve for x
    x = 159,050,213,721/285,276
  6. Step 6: Final answer
    x = 557,531.00

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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.