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Finding the Third Proportional to 219,311 and 330,587

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Solution

The third proportional to 219,311 and 330,587 is: 498,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,311 : 330,587 = 330,587 : x
  2. Step 2: Convert to fraction form
    219,311/330,587 = 330,587/x
  3. Step 3: Cross multiply
    219,311x = 330,587 × 330,587
  4. Step 4: Simplify right side
    219,311x = 109,287,764,569
  5. Step 5: Solve for x
    x = 109,287,764,569/219,311
  6. Step 6: Final answer
    x = 498,323.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.