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Finding the Third Proportional to 219,423 and 327,699

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Solution

The third proportional to 219,423 and 327,699 is: 489,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,423 : 327,699 = 327,699 : x
  2. Step 2: Convert to fraction form
    219,423/327,699 = 327,699/x
  3. Step 3: Cross multiply
    219,423x = 327,699 × 327,699
  4. Step 4: Simplify right side
    219,423x = 107,386,634,601
  5. Step 5: Solve for x
    x = 107,386,634,601/219,423
  6. Step 6: Final answer
    x = 489,404.64

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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.