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Finding the Third Proportional to 188,340 and 406,555

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Solution

The third proportional to 188,340 and 406,555 is: 877,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,340 : 406,555 = 406,555 : x
  2. Step 2: Convert to fraction form
    188,340/406,555 = 406,555/x
  3. Step 3: Cross multiply
    188,340x = 406,555 × 406,555
  4. Step 4: Simplify right side
    188,340x = 165,286,968,025
  5. Step 5: Solve for x
    x = 165,286,968,025/188,340
  6. Step 6: Final answer
    x = 877,598.85

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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.