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Finding the Third Proportional to 188,045 and 391,643

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Solution

The third proportional to 188,045 and 391,643 is: 815,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,045 : 391,643 = 391,643 : x
  2. Step 2: Convert to fraction form
    188,045/391,643 = 391,643/x
  3. Step 3: Cross multiply
    188,045x = 391,643 × 391,643
  4. Step 4: Simplify right side
    188,045x = 153,384,239,449
  5. Step 5: Solve for x
    x = 153,384,239,449/188,045
  6. Step 6: Final answer
    x = 815,678.37

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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.