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Finding the Third Proportional to 189,039 and 409,107

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Solution

The third proportional to 189,039 and 409,107 is: 885,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,039 : 409,107 = 409,107 : x
  2. Step 2: Convert to fraction form
    189,039/409,107 = 409,107/x
  3. Step 3: Cross multiply
    189,039x = 409,107 × 409,107
  4. Step 4: Simplify right side
    189,039x = 167,368,537,449
  5. Step 5: Solve for x
    x = 167,368,537,449/189,039
  6. Step 6: Final answer
    x = 885,365.12

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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.