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Finding the Third Proportional to 188,624 and 406,642

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Solution

The third proportional to 188,624 and 406,642 is: 876,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,624 : 406,642 = 406,642 : x
  2. Step 2: Convert to fraction form
    188,624/406,642 = 406,642/x
  3. Step 3: Cross multiply
    188,624x = 406,642 × 406,642
  4. Step 4: Simplify right side
    188,624x = 165,357,716,164
  5. Step 5: Solve for x
    x = 165,357,716,164/188,624
  6. Step 6: Final answer
    x = 876,652.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.