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Finding the Third Proportional to 307,136.81 and 485,650.69

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Solution

The third proportional to 307,136.81 and 485,650.69 is: 767,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,136.81 : 485,650.69 = 485,650.69 : x
  2. Step 2: Convert to fraction form
    307,136.81/485,650.69 = 485,650.69/x
  3. Step 3: Cross multiply
    307,136.81x = 485,650.69 × 485,650.69
  4. Step 4: Simplify right side
    307,136.81x = 235,856,590,269.22
  5. Step 5: Solve for x
    x = 235,856,590,269.22/307,136.81
  6. Step 6: Final answer
    x = 767,920.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.