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Finding the Third Proportional to 211,438.13 and 440,371.13

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Solution

The third proportional to 211,438.13 and 440,371.13 is: 917,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,438.13 : 440,371.13 = 440,371.13 : x
  2. Step 2: Convert to fraction form
    211,438.13/440,371.13 = 440,371.13/x
  3. Step 3: Cross multiply
    211,438.13x = 440,371.13 × 440,371.13
  4. Step 4: Simplify right side
    211,438.13x = 193,926,727,733.77
  5. Step 5: Solve for x
    x = 193,926,727,733.77/211,438.13
  6. Step 6: Final answer
    x = 917,179.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.