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Finding the Third Proportional to 222,419 and 344,688

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Solution

The third proportional to 222,419 and 344,688 is: 534,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,419 : 344,688 = 344,688 : x
  2. Step 2: Convert to fraction form
    222,419/344,688 = 344,688/x
  3. Step 3: Cross multiply
    222,419x = 344,688 × 344,688
  4. Step 4: Simplify right side
    222,419x = 118,809,817,344
  5. Step 5: Solve for x
    x = 118,809,817,344/222,419
  6. Step 6: Final answer
    x = 534,171.17

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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.