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Finding the Third Proportional to 306,718 and 650,331

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Solution

The third proportional to 306,718 and 650,331 is: 1,378,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,718 : 650,331 = 650,331 : x
  2. Step 2: Convert to fraction form
    306,718/650,331 = 650,331/x
  3. Step 3: Cross multiply
    306,718x = 650,331 × 650,331
  4. Step 4: Simplify right side
    306,718x = 422,930,409,561
  5. Step 5: Solve for x
    x = 422,930,409,561/306,718
  6. Step 6: Final answer
    x = 1,378,890.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.