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Finding the Third Proportional to 207,326 and 435,540

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Solution

The third proportional to 207,326 and 435,540 is: 914,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,326 : 435,540 = 435,540 : x
  2. Step 2: Convert to fraction form
    207,326/435,540 = 435,540/x
  3. Step 3: Cross multiply
    207,326x = 435,540 × 435,540
  4. Step 4: Simplify right side
    207,326x = 189,695,091,600
  5. Step 5: Solve for x
    x = 189,695,091,600/207,326
  6. Step 6: Final answer
    x = 914,960.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.