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Finding the Third Proportional to 205,689 and 310,725

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Solution

The third proportional to 205,689 and 310,725 is: 469,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,689 : 310,725 = 310,725 : x
  2. Step 2: Convert to fraction form
    205,689/310,725 = 310,725/x
  3. Step 3: Cross multiply
    205,689x = 310,725 × 310,725
  4. Step 4: Simplify right side
    205,689x = 96,550,025,625
  5. Step 5: Solve for x
    x = 96,550,025,625/205,689
  6. Step 6: Final answer
    x = 469,398.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.