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Finding the Third Proportional to 222,600 and 344,894

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Solution

The third proportional to 222,600 and 344,894 is: 534,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,600 : 344,894 = 344,894 : x
  2. Step 2: Convert to fraction form
    222,600/344,894 = 344,894/x
  3. Step 3: Cross multiply
    222,600x = 344,894 × 344,894
  4. Step 4: Simplify right side
    222,600x = 118,951,871,236
  5. Step 5: Solve for x
    x = 118,951,871,236/222,600
  6. Step 6: Final answer
    x = 534,374.98

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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.