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Finding the Third Proportional to 415,678 and 644,920

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Solution

The third proportional to 415,678 and 644,920 is: 1,000,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,678 : 644,920 = 644,920 : x
  2. Step 2: Convert to fraction form
    415,678/644,920 = 644,920/x
  3. Step 3: Cross multiply
    415,678x = 644,920 × 644,920
  4. Step 4: Simplify right side
    415,678x = 415,921,806,400
  5. Step 5: Solve for x
    x = 415,921,806,400/415,678
  6. Step 6: Final answer
    x = 1,000,586.53

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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.