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Finding the Third Proportional to 217,416 and 300,420

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Solution

The third proportional to 217,416 and 300,420 is: 415,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,416 : 300,420 = 300,420 : x
  2. Step 2: Convert to fraction form
    217,416/300,420 = 300,420/x
  3. Step 3: Cross multiply
    217,416x = 300,420 × 300,420
  4. Step 4: Simplify right side
    217,416x = 90,252,176,400
  5. Step 5: Solve for x
    x = 90,252,176,400/217,416
  6. Step 6: Final answer
    x = 415,112.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.