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Finding the Third Proportional to 306,418 and 673,303

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Solution

The third proportional to 306,418 and 673,303 is: 1,479,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,418 : 673,303 = 673,303 : x
  2. Step 2: Convert to fraction form
    306,418/673,303 = 673,303/x
  3. Step 3: Cross multiply
    306,418x = 673,303 × 673,303
  4. Step 4: Simplify right side
    306,418x = 453,336,929,809
  5. Step 5: Solve for x
    x = 453,336,929,809/306,418
  6. Step 6: Final answer
    x = 1,479,472.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.