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Finding the Third Proportional to 211,709 and 329,228

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Solution

The third proportional to 211,709 and 329,228 is: 511,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,709 : 329,228 = 329,228 : x
  2. Step 2: Convert to fraction form
    211,709/329,228 = 329,228/x
  3. Step 3: Cross multiply
    211,709x = 329,228 × 329,228
  4. Step 4: Simplify right side
    211,709x = 108,391,075,984
  5. Step 5: Solve for x
    x = 108,391,075,984/211,709
  6. Step 6: Final answer
    x = 511,981.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.