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Finding the Third Proportional to 189,905 and 415,098

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Solution

The third proportional to 189,905 and 415,098 is: 907,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,905 : 415,098 = 415,098 : x
  2. Step 2: Convert to fraction form
    189,905/415,098 = 415,098/x
  3. Step 3: Cross multiply
    189,905x = 415,098 × 415,098
  4. Step 4: Simplify right side
    189,905x = 172,306,349,604
  5. Step 5: Solve for x
    x = 172,306,349,604/189,905
  6. Step 6: Final answer
    x = 907,329.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.