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Finding the Third Proportional to 188,755 and 407,030

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Solution

The third proportional to 188,755 and 407,030 is: 877,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,755 : 407,030 = 407,030 : x
  2. Step 2: Convert to fraction form
    188,755/407,030 = 407,030/x
  3. Step 3: Cross multiply
    188,755x = 407,030 × 407,030
  4. Step 4: Simplify right side
    188,755x = 165,673,420,900
  5. Step 5: Solve for x
    x = 165,673,420,900/188,755
  6. Step 6: Final answer
    x = 877,716.73

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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.