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Finding the Third Proportional to 205,730 and 313,329

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Solution

The third proportional to 205,730 and 313,329 is: 477,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,730 : 313,329 = 313,329 : x
  2. Step 2: Convert to fraction form
    205,730/313,329 = 313,329/x
  3. Step 3: Cross multiply
    205,730x = 313,329 × 313,329
  4. Step 4: Simplify right side
    205,730x = 98,175,062,241
  5. Step 5: Solve for x
    x = 98,175,062,241/205,730
  6. Step 6: Final answer
    x = 477,203.43

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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.