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Finding the Third Proportional to 319,642.25 and 485,295.50

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Solution

The third proportional to 319,642.25 and 485,295.50 is: 736,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,642.25 : 485,295.50 = 485,295.50 : x
  2. Step 2: Convert to fraction form
    319,642.25/485,295.50 = 485,295.50/x
  3. Step 3: Cross multiply
    319,642.25x = 485,295.50 × 485,295.50
  4. Step 4: Simplify right side
    319,642.25x = 235,511,722,320.25
  5. Step 5: Solve for x
    x = 235,511,722,320.25/319,642.25
  6. Step 6: Final answer
    x = 736,797.85

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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.