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Finding the Third Proportional to 216,260 and 344,374

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Solution

The third proportional to 216,260 and 344,374 is: 548,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,260 : 344,374 = 344,374 : x
  2. Step 2: Convert to fraction form
    216,260/344,374 = 344,374/x
  3. Step 3: Cross multiply
    216,260x = 344,374 × 344,374
  4. Step 4: Simplify right side
    216,260x = 118,593,451,876
  5. Step 5: Solve for x
    x = 118,593,451,876/216,260
  6. Step 6: Final answer
    x = 548,383.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.