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Finding the Third Proportional to 305,676 and 673,560

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Solution

The third proportional to 305,676 and 673,560 is: 1,484,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,676 : 673,560 = 673,560 : x
  2. Step 2: Convert to fraction form
    305,676/673,560 = 673,560/x
  3. Step 3: Cross multiply
    305,676x = 673,560 × 673,560
  4. Step 4: Simplify right side
    305,676x = 453,683,073,600
  5. Step 5: Solve for x
    x = 453,683,073,600/305,676
  6. Step 6: Final answer
    x = 1,484,195.93

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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.