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Finding the Third Proportional to 222,842 and 345,203.50

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Solution

The third proportional to 222,842 and 345,203.50 is: 534,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,842 : 345,203.50 = 345,203.50 : x
  2. Step 2: Convert to fraction form
    222,842/345,203.50 = 345,203.50/x
  3. Step 3: Cross multiply
    222,842x = 345,203.50 × 345,203.50
  4. Step 4: Simplify right side
    222,842x = 119,165,456,412.25
  5. Step 5: Solve for x
    x = 119,165,456,412.25/222,842
  6. Step 6: Final answer
    x = 534,753.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.