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Finding the Third Proportional to 188,160 and 406,656

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Solution

The third proportional to 188,160 and 406,656 is: 878,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,160 : 406,656 = 406,656 : x
  2. Step 2: Convert to fraction form
    188,160/406,656 = 406,656/x
  3. Step 3: Cross multiply
    188,160x = 406,656 × 406,656
  4. Step 4: Simplify right side
    188,160x = 165,369,102,336
  5. Step 5: Solve for x
    x = 165,369,102,336/188,160
  6. Step 6: Final answer
    x = 878,874.91

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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.