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Finding the Third Proportional to 306,666 and 660,204

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Solution

The third proportional to 306,666 and 660,204 is: 1,421,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,666 : 660,204 = 660,204 : x
  2. Step 2: Convert to fraction form
    306,666/660,204 = 660,204/x
  3. Step 3: Cross multiply
    306,666x = 660,204 × 660,204
  4. Step 4: Simplify right side
    306,666x = 435,869,321,616
  5. Step 5: Solve for x
    x = 435,869,321,616/306,666
  6. Step 6: Final answer
    x = 1,421,316.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.