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Finding the Third Proportional to 155,742 and 222,710

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Solution

The third proportional to 155,742 and 222,710 is: 318,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,742 : 222,710 = 222,710 : x
  2. Step 2: Convert to fraction form
    155,742/222,710 = 222,710/x
  3. Step 3: Cross multiply
    155,742x = 222,710 × 222,710
  4. Step 4: Simplify right side
    155,742x = 49,599,744,100
  5. Step 5: Solve for x
    x = 49,599,744,100/155,742
  6. Step 6: Final answer
    x = 318,473.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.