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Finding the Third Proportional to 285,107 and 398,596

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Solution

The third proportional to 285,107 and 398,596 is: 557,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,107 : 398,596 = 398,596 : x
  2. Step 2: Convert to fraction form
    285,107/398,596 = 398,596/x
  3. Step 3: Cross multiply
    285,107x = 398,596 × 398,596
  4. Step 4: Simplify right side
    285,107x = 158,878,771,216
  5. Step 5: Solve for x
    x = 158,878,771,216/285,107
  6. Step 6: Final answer
    x = 557,260.16

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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.