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Finding the Third Proportional to 319,524 and 485,118

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Solution

The third proportional to 319,524 and 485,118 is: 736,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,524 : 485,118 = 485,118 : x
  2. Step 2: Convert to fraction form
    319,524/485,118 = 485,118/x
  3. Step 3: Cross multiply
    319,524x = 485,118 × 485,118
  4. Step 4: Simplify right side
    319,524x = 235,339,473,924
  5. Step 5: Solve for x
    x = 235,339,473,924/319,524
  6. Step 6: Final answer
    x = 736,531.45

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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.