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Finding the Third Proportional to 219,315 and 328,086

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Solution

The third proportional to 219,315 and 328,086 is: 490,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,315 : 328,086 = 328,086 : x
  2. Step 2: Convert to fraction form
    219,315/328,086 = 328,086/x
  3. Step 3: Cross multiply
    219,315x = 328,086 × 328,086
  4. Step 4: Simplify right side
    219,315x = 107,640,423,396
  5. Step 5: Solve for x
    x = 107,640,423,396/219,315
  6. Step 6: Final answer
    x = 490,802.83

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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.