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Finding the Third Proportional to 93,496 and 222,259

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Solution

The third proportional to 93,496 and 222,259 is: 528,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,496 : 222,259 = 222,259 : x
  2. Step 2: Convert to fraction form
    93,496/222,259 = 222,259/x
  3. Step 3: Cross multiply
    93,496x = 222,259 × 222,259
  4. Step 4: Simplify right side
    93,496x = 49,399,063,081
  5. Step 5: Solve for x
    x = 49,399,063,081/93,496
  6. Step 6: Final answer
    x = 528,354.83

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.