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Finding the Third Proportional to 388,843 and 808,725

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Solution

The third proportional to 388,843 and 808,725 is: 1,682,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,843 : 808,725 = 808,725 : x
  2. Step 2: Convert to fraction form
    388,843/808,725 = 808,725/x
  3. Step 3: Cross multiply
    388,843x = 808,725 × 808,725
  4. Step 4: Simplify right side
    388,843x = 654,036,125,625
  5. Step 5: Solve for x
    x = 654,036,125,625/388,843
  6. Step 6: Final answer
    x = 1,682,005.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.