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Finding the Third Proportional to 219,210 and 328,814

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Solution

The third proportional to 219,210 and 328,814 is: 493,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,210 : 328,814 = 328,814 : x
  2. Step 2: Convert to fraction form
    219,210/328,814 = 328,814/x
  3. Step 3: Cross multiply
    219,210x = 328,814 × 328,814
  4. Step 4: Simplify right side
    219,210x = 108,118,646,596
  5. Step 5: Solve for x
    x = 108,118,646,596/219,210
  6. Step 6: Final answer
    x = 493,219.50

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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.