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Finding the Third Proportional to 285,862 and 420,234

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Solution

The third proportional to 285,862 and 420,234 is: 617,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,862 : 420,234 = 420,234 : x
  2. Step 2: Convert to fraction form
    285,862/420,234 = 420,234/x
  3. Step 3: Cross multiply
    285,862x = 420,234 × 420,234
  4. Step 4: Simplify right side
    285,862x = 176,596,614,756
  5. Step 5: Solve for x
    x = 176,596,614,756/285,862
  6. Step 6: Final answer
    x = 617,768.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.