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Finding the Third Proportional to 319,212 and 485,742

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Solution

The third proportional to 319,212 and 485,742 is: 739,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,212 : 485,742 = 485,742 : x
  2. Step 2: Convert to fraction form
    319,212/485,742 = 485,742/x
  3. Step 3: Cross multiply
    319,212x = 485,742 × 485,742
  4. Step 4: Simplify right side
    319,212x = 235,945,290,564
  5. Step 5: Solve for x
    x = 235,945,290,564/319,212
  6. Step 6: Final answer
    x = 739,149.19

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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.