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Finding the Third Proportional to 219,519 and 328,342.50

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Solution

The third proportional to 219,519 and 328,342.50 is: 491,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,519 : 328,342.50 = 328,342.50 : x
  2. Step 2: Convert to fraction form
    219,519/328,342.50 = 328,342.50/x
  3. Step 3: Cross multiply
    219,519x = 328,342.50 × 328,342.50
  4. Step 4: Simplify right side
    219,519x = 107,808,797,306.25
  5. Step 5: Solve for x
    x = 107,808,797,306.25/219,519
  6. Step 6: Final answer
    x = 491,113.74

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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.