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Finding the Third Proportional to 104,554 and 222,594

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Solution

The third proportional to 104,554 and 222,594 is: 473,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,554 : 222,594 = 222,594 : x
  2. Step 2: Convert to fraction form
    104,554/222,594 = 222,594/x
  3. Step 3: Cross multiply
    104,554x = 222,594 × 222,594
  4. Step 4: Simplify right side
    104,554x = 49,548,088,836
  5. Step 5: Solve for x
    x = 49,548,088,836/104,554
  6. Step 6: Final answer
    x = 473,899.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.