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Finding the Third Proportional to 102,415 and 222,781

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Solution

The third proportional to 102,415 and 222,781 is: 484,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415 : 222,781 = 222,781 : x
  2. Step 2: Convert to fraction form
    102,415/222,781 = 222,781/x
  3. Step 3: Cross multiply
    102,415x = 222,781 × 222,781
  4. Step 4: Simplify right side
    102,415x = 49,631,373,961
  5. Step 5: Solve for x
    x = 49,631,373,961/102,415
  6. Step 6: Final answer
    x = 484,610.40

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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.