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Finding the Third Proportional to 207,362 and 321,699

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Solution

The third proportional to 207,362 and 321,699 is: 499,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,362 : 321,699 = 321,699 : x
  2. Step 2: Convert to fraction form
    207,362/321,699 = 321,699/x
  3. Step 3: Cross multiply
    207,362x = 321,699 × 321,699
  4. Step 4: Simplify right side
    207,362x = 103,490,246,601
  5. Step 5: Solve for x
    x = 103,490,246,601/207,362
  6. Step 6: Final answer
    x = 499,080.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.