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Finding the Third Proportional to 219,328 and 297,203

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Solution

The third proportional to 219,328 and 297,203 is: 402,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,328 : 297,203 = 297,203 : x
  2. Step 2: Convert to fraction form
    219,328/297,203 = 297,203/x
  3. Step 3: Cross multiply
    219,328x = 297,203 × 297,203
  4. Step 4: Simplify right side
    219,328x = 88,329,623,209
  5. Step 5: Solve for x
    x = 88,329,623,209/219,328
  6. Step 6: Final answer
    x = 402,728.44

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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.