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Finding the Third Proportional to 319,494 and 485,073

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Solution

The third proportional to 319,494 and 485,073 is: 736,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,494 : 485,073 = 485,073 : x
  2. Step 2: Convert to fraction form
    319,494/485,073 = 485,073/x
  3. Step 3: Cross multiply
    319,494x = 485,073 × 485,073
  4. Step 4: Simplify right side
    319,494x = 235,295,815,329
  5. Step 5: Solve for x
    x = 235,295,815,329/319,494
  6. Step 6: Final answer
    x = 736,463.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.