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Finding the Third Proportional to 413,412 and 892,920

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Solution

The third proportional to 413,412 and 892,920 is: 1,928,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,412 : 892,920 = 892,920 : x
  2. Step 2: Convert to fraction form
    413,412/892,920 = 892,920/x
  3. Step 3: Cross multiply
    413,412x = 892,920 × 892,920
  4. Step 4: Simplify right side
    413,412x = 797,306,126,400
  5. Step 5: Solve for x
    x = 797,306,126,400/413,412
  6. Step 6: Final answer
    x = 1,928,599.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.