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Finding the Third Proportional to 319,642.13 and 485,295

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Solution

The third proportional to 319,642.13 and 485,295 is: 736,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,642.13 : 485,295 = 485,295 : x
  2. Step 2: Convert to fraction form
    319,642.13/485,295 = 485,295/x
  3. Step 3: Cross multiply
    319,642.13x = 485,295 × 485,295
  4. Step 4: Simplify right side
    319,642.13x = 235,511,237,025
  5. Step 5: Solve for x
    x = 235,511,237,025/319,642.13
  6. Step 6: Final answer
    x = 736,796.62

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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.