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Finding the Third Proportional to 330,848 and 403,424

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Solution

The third proportional to 330,848 and 403,424 is: 491,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,848 : 403,424 = 403,424 : x
  2. Step 2: Convert to fraction form
    330,848/403,424 = 403,424/x
  3. Step 3: Cross multiply
    330,848x = 403,424 × 403,424
  4. Step 4: Simplify right side
    330,848x = 162,750,923,776
  5. Step 5: Solve for x
    x = 162,750,923,776/330,848
  6. Step 6: Final answer
    x = 491,920.53

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.