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Finding the Third Proportional to 319,479 and 485,052

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Solution

The third proportional to 319,479 and 485,052 is: 736,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,479 : 485,052 = 485,052 : x
  2. Step 2: Convert to fraction form
    319,479/485,052 = 485,052/x
  3. Step 3: Cross multiply
    319,479x = 485,052 × 485,052
  4. Step 4: Simplify right side
    319,479x = 235,275,442,704
  5. Step 5: Solve for x
    x = 235,275,442,704/319,479
  6. Step 6: Final answer
    x = 736,434.77

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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.