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Finding the Third Proportional to 211,707 and 329,224.50

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Solution

The third proportional to 211,707 and 329,224.50 is: 511,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,707 : 329,224.50 = 329,224.50 : x
  2. Step 2: Convert to fraction form
    211,707/329,224.50 = 329,224.50/x
  3. Step 3: Cross multiply
    211,707x = 329,224.50 × 329,224.50
  4. Step 4: Simplify right side
    211,707x = 108,388,771,400.25
  5. Step 5: Solve for x
    x = 108,388,771,400.25/211,707
  6. Step 6: Final answer
    x = 511,975.38

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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.