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Finding the Third Proportional to 185,982 and 405,135

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Solution

The third proportional to 185,982 and 405,135 is: 882,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,982 : 405,135 = 405,135 : x
  2. Step 2: Convert to fraction form
    185,982/405,135 = 405,135/x
  3. Step 3: Cross multiply
    185,982x = 405,135 × 405,135
  4. Step 4: Simplify right side
    185,982x = 164,134,368,225
  5. Step 5: Solve for x
    x = 164,134,368,225/185,982
  6. Step 6: Final answer
    x = 882,528.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.