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Finding the Third Proportional to 219,521 and 328,345

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Solution

The third proportional to 219,521 and 328,345 is: 491,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,521 : 328,345 = 328,345 : x
  2. Step 2: Convert to fraction form
    219,521/328,345 = 328,345/x
  3. Step 3: Cross multiply
    219,521x = 328,345 × 328,345
  4. Step 4: Simplify right side
    219,521x = 107,810,439,025
  5. Step 5: Solve for x
    x = 107,810,439,025/219,521
  6. Step 6: Final answer
    x = 491,116.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.