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Finding the Third Proportional to 207,654 and 325,311

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Solution

The third proportional to 207,654 and 325,311 is: 509,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,654 : 325,311 = 325,311 : x
  2. Step 2: Convert to fraction form
    207,654/325,311 = 325,311/x
  3. Step 3: Cross multiply
    207,654x = 325,311 × 325,311
  4. Step 4: Simplify right side
    207,654x = 105,827,246,721
  5. Step 5: Solve for x
    x = 105,827,246,721/207,654
  6. Step 6: Final answer
    x = 509,632.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.