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Finding the Third Proportional to 205,725 and 308,587

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Solution

The third proportional to 205,725 and 308,587 is: 462,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,725 : 308,587 = 308,587 : x
  2. Step 2: Convert to fraction form
    205,725/308,587 = 308,587/x
  3. Step 3: Cross multiply
    205,725x = 308,587 × 308,587
  4. Step 4: Simplify right side
    205,725x = 95,225,936,569
  5. Step 5: Solve for x
    x = 95,225,936,569/205,725
  6. Step 6: Final answer
    x = 462,879.75

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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.