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Finding the Third Proportional to 205,488 and 309,708

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Solution

The third proportional to 205,488 and 309,708 is: 466,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,488 : 309,708 = 309,708 : x
  2. Step 2: Convert to fraction form
    205,488/309,708 = 309,708/x
  3. Step 3: Cross multiply
    205,488x = 309,708 × 309,708
  4. Step 4: Simplify right side
    205,488x = 95,919,045,264
  5. Step 5: Solve for x
    x = 95,919,045,264/205,488
  6. Step 6: Final answer
    x = 466,786.60

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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.