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Finding the Third Proportional to 219,265 and 328,015

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Solution

The third proportional to 219,265 and 328,015 is: 490,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,265 : 328,015 = 328,015 : x
  2. Step 2: Convert to fraction form
    219,265/328,015 = 328,015/x
  3. Step 3: Cross multiply
    219,265x = 328,015 × 328,015
  4. Step 4: Simplify right side
    219,265x = 107,593,840,225
  5. Step 5: Solve for x
    x = 107,593,840,225/219,265
  6. Step 6: Final answer
    x = 490,702.30

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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.