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Finding the Third Proportional to 285,520 and 442,698

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Solution

The third proportional to 285,520 and 442,698 is: 686,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,520 : 442,698 = 442,698 : x
  2. Step 2: Convert to fraction form
    285,520/442,698 = 442,698/x
  3. Step 3: Cross multiply
    285,520x = 442,698 × 442,698
  4. Step 4: Simplify right side
    285,520x = 195,981,519,204
  5. Step 5: Solve for x
    x = 195,981,519,204/285,520
  6. Step 6: Final answer
    x = 686,402.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.