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Finding the Third Proportional to 158,460 and 330,204

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Solution

The third proportional to 158,460 and 330,204 is: 688,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,460 : 330,204 = 330,204 : x
  2. Step 2: Convert to fraction form
    158,460/330,204 = 330,204/x
  3. Step 3: Cross multiply
    158,460x = 330,204 × 330,204
  4. Step 4: Simplify right side
    158,460x = 109,034,681,616
  5. Step 5: Solve for x
    x = 109,034,681,616/158,460
  6. Step 6: Final answer
    x = 688,089.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.