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Finding the Third Proportional to 207,918 and 321,813

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Solution

The third proportional to 207,918 and 321,813 is: 498,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,918 : 321,813 = 321,813 : x
  2. Step 2: Convert to fraction form
    207,918/321,813 = 321,813/x
  3. Step 3: Cross multiply
    207,918x = 321,813 × 321,813
  4. Step 4: Simplify right side
    207,918x = 103,563,606,969
  5. Step 5: Solve for x
    x = 103,563,606,969/207,918
  6. Step 6: Final answer
    x = 498,098.32

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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.