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Finding the Third Proportional to 147,406 and 222,342

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Solution

The third proportional to 147,406 and 222,342 is: 335,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,406 : 222,342 = 222,342 : x
  2. Step 2: Convert to fraction form
    147,406/222,342 = 222,342/x
  3. Step 3: Cross multiply
    147,406x = 222,342 × 222,342
  4. Step 4: Simplify right side
    147,406x = 49,435,964,964
  5. Step 5: Solve for x
    x = 49,435,964,964/147,406
  6. Step 6: Final answer
    x = 335,372.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.