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Finding the Third Proportional to 219,596 and 298,288

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Solution

The third proportional to 219,596 and 298,288 is: 405,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,596 : 298,288 = 298,288 : x
  2. Step 2: Convert to fraction form
    219,596/298,288 = 298,288/x
  3. Step 3: Cross multiply
    219,596x = 298,288 × 298,288
  4. Step 4: Simplify right side
    219,596x = 88,975,730,944
  5. Step 5: Solve for x
    x = 88,975,730,944/219,596
  6. Step 6: Final answer
    x = 405,179.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.