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Finding the Third Proportional to 219,690 and 328,779

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Solution

The third proportional to 219,690 and 328,779 is: 492,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,690 : 328,779 = 328,779 : x
  2. Step 2: Convert to fraction form
    219,690/328,779 = 328,779/x
  3. Step 3: Cross multiply
    219,690x = 328,779 × 328,779
  4. Step 4: Simplify right side
    219,690x = 108,095,630,841
  5. Step 5: Solve for x
    x = 108,095,630,841/219,690
  6. Step 6: Final answer
    x = 492,037.10

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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.