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Finding the Third Proportional to 319,129.88 and 485,326.69

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Solution

The third proportional to 319,129.88 and 485,326.69 is: 738,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,129.88 : 485,326.69 = 485,326.69 : x
  2. Step 2: Convert to fraction form
    319,129.88/485,326.69 = 485,326.69/x
  3. Step 3: Cross multiply
    319,129.88x = 485,326.69 × 485,326.69
  4. Step 4: Simplify right side
    319,129.88x = 235,541,993,599.72
  5. Step 5: Solve for x
    x = 235,541,993,599.72/319,129.88
  6. Step 6: Final answer
    x = 738,075.66

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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.