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Finding the Third Proportional to 188,664 and 406,716

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Solution

The third proportional to 188,664 and 406,716 is: 876,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,664 : 406,716 = 406,716 : x
  2. Step 2: Convert to fraction form
    188,664/406,716 = 406,716/x
  3. Step 3: Cross multiply
    188,664x = 406,716 × 406,716
  4. Step 4: Simplify right side
    188,664x = 165,417,904,656
  5. Step 5: Solve for x
    x = 165,417,904,656/188,664
  6. Step 6: Final answer
    x = 876,785.74

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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.