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Finding the Third Proportional to 306,524 and 669,019

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Solution

The third proportional to 306,524 and 669,019 is: 1,460,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,524 : 669,019 = 669,019 : x
  2. Step 2: Convert to fraction form
    306,524/669,019 = 669,019/x
  3. Step 3: Cross multiply
    306,524x = 669,019 × 669,019
  4. Step 4: Simplify right side
    306,524x = 447,586,422,361
  5. Step 5: Solve for x
    x = 447,586,422,361/306,524
  6. Step 6: Final answer
    x = 1,460,200.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.