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Finding the Third Proportional to 285,163 and 398,673

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Solution

The third proportional to 285,163 and 398,673 is: 557,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,163 : 398,673 = 398,673 : x
  2. Step 2: Convert to fraction form
    285,163/398,673 = 398,673/x
  3. Step 3: Cross multiply
    285,163x = 398,673 × 398,673
  4. Step 4: Simplify right side
    285,163x = 158,940,160,929
  5. Step 5: Solve for x
    x = 158,940,160,929/285,163
  6. Step 6: Final answer
    x = 557,366.00

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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.