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Finding the Third Proportional to 319,377 and 479,074.50

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Solution

The third proportional to 319,377 and 479,074.50 is: 718,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,377 : 479,074.50 = 479,074.50 : x
  2. Step 2: Convert to fraction form
    319,377/479,074.50 = 479,074.50/x
  3. Step 3: Cross multiply
    319,377x = 479,074.50 × 479,074.50
  4. Step 4: Simplify right side
    319,377x = 229,512,376,550.25
  5. Step 5: Solve for x
    x = 229,512,376,550.25/319,377
  6. Step 6: Final answer
    x = 718,625.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.