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Finding the Third Proportional to 211,457.25 and 317,118.38

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Solution

The third proportional to 211,457.25 and 317,118.38 is: 475,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,457.25 : 317,118.38 = 317,118.38 : x
  2. Step 2: Convert to fraction form
    211,457.25/317,118.38 = 317,118.38/x
  3. Step 3: Cross multiply
    211,457.25x = 317,118.38 × 317,118.38
  4. Step 4: Simplify right side
    211,457.25x = 100,564,063,762.64
  5. Step 5: Solve for x
    x = 100,564,063,762.64/211,457.25
  6. Step 6: Final answer
    x = 475,576.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.