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Finding the Third Proportional to 330,214 and 510,204

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Solution

The third proportional to 330,214 and 510,204 is: 788,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,214 : 510,204 = 510,204 : x
  2. Step 2: Convert to fraction form
    330,214/510,204 = 510,204/x
  3. Step 3: Cross multiply
    330,214x = 510,204 × 510,204
  4. Step 4: Simplify right side
    330,214x = 260,308,121,616
  5. Step 5: Solve for x
    x = 260,308,121,616/330,214
  6. Step 6: Final answer
    x = 788,301.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.