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Finding the Third Proportional to 219,388 and 327,646

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Solution

The third proportional to 219,388 and 327,646 is: 489,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,388 : 327,646 = 327,646 : x
  2. Step 2: Convert to fraction form
    219,388/327,646 = 327,646/x
  3. Step 3: Cross multiply
    219,388x = 327,646 × 327,646
  4. Step 4: Simplify right side
    219,388x = 107,351,901,316
  5. Step 5: Solve for x
    x = 107,351,901,316/219,388
  6. Step 6: Final answer
    x = 489,324.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.