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Finding the Third Proportional to 307,408 and 673,136

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Solution

The third proportional to 307,408 and 673,136 is: 1,473,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,408 : 673,136 = 673,136 : x
  2. Step 2: Convert to fraction form
    307,408/673,136 = 673,136/x
  3. Step 3: Cross multiply
    307,408x = 673,136 × 673,136
  4. Step 4: Simplify right side
    307,408x = 453,112,074,496
  5. Step 5: Solve for x
    x = 453,112,074,496/307,408
  6. Step 6: Final answer
    x = 1,473,976.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.