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Finding the Third Proportional to 293,408 and 442,920

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Solution

The third proportional to 293,408 and 442,920 is: 668,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,408 : 442,920 = 442,920 : x
  2. Step 2: Convert to fraction form
    293,408/442,920 = 442,920/x
  3. Step 3: Cross multiply
    293,408x = 442,920 × 442,920
  4. Step 4: Simplify right side
    293,408x = 196,178,126,400
  5. Step 5: Solve for x
    x = 196,178,126,400/293,408
  6. Step 6: Final answer
    x = 668,618.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.