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Finding the Third Proportional to 285,860 and 420,231

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Solution

The third proportional to 285,860 and 420,231 is: 617,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,860 : 420,231 = 420,231 : x
  2. Step 2: Convert to fraction form
    285,860/420,231 = 420,231/x
  3. Step 3: Cross multiply
    285,860x = 420,231 × 420,231
  4. Step 4: Simplify right side
    285,860x = 176,594,093,361
  5. Step 5: Solve for x
    x = 176,594,093,361/285,860
  6. Step 6: Final answer
    x = 617,764.27

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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.