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Finding the Third Proportional to 219,385 and 327,643

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Solution

The third proportional to 219,385 and 327,643 is: 489,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,385 : 327,643 = 327,643 : x
  2. Step 2: Convert to fraction form
    219,385/327,643 = 327,643/x
  3. Step 3: Cross multiply
    219,385x = 327,643 × 327,643
  4. Step 4: Simplify right side
    219,385x = 107,349,935,449
  5. Step 5: Solve for x
    x = 107,349,935,449/219,385
  6. Step 6: Final answer
    x = 489,322.13

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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.