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Finding the Third Proportional to 207,911 and 321,803

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Solution

The third proportional to 207,911 and 321,803 is: 498,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,911 : 321,803 = 321,803 : x
  2. Step 2: Convert to fraction form
    207,911/321,803 = 321,803/x
  3. Step 3: Cross multiply
    207,911x = 321,803 × 321,803
  4. Step 4: Simplify right side
    207,911x = 103,557,170,809
  5. Step 5: Solve for x
    x = 103,557,170,809/207,911
  6. Step 6: Final answer
    x = 498,084.14

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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.