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Finding the Third Proportional to 211,243 and 469,716

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Solution

The third proportional to 211,243 and 469,716 is: 1,044,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,243 : 469,716 = 469,716 : x
  2. Step 2: Convert to fraction form
    211,243/469,716 = 469,716/x
  3. Step 3: Cross multiply
    211,243x = 469,716 × 469,716
  4. Step 4: Simplify right side
    211,243x = 220,633,120,656
  5. Step 5: Solve for x
    x = 220,633,120,656/211,243
  6. Step 6: Final answer
    x = 1,044,451.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.