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Finding the Third Proportional to 211,239 and 469,704

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Solution

The third proportional to 211,239 and 469,704 is: 1,044,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,239 : 469,704 = 469,704 : x
  2. Step 2: Convert to fraction form
    211,239/469,704 = 469,704/x
  3. Step 3: Cross multiply
    211,239x = 469,704 × 469,704
  4. Step 4: Simplify right side
    211,239x = 220,621,847,616
  5. Step 5: Solve for x
    x = 220,621,847,616/211,239
  6. Step 6: Final answer
    x = 1,044,418.16

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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.