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Finding the Third Proportional to 133,883 and 207,306

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Solution

The third proportional to 133,883 and 207,306 is: 320,995.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,883 : 207,306 = 207,306 : x
  2. Step 2: Convert to fraction form
    133,883/207,306 = 207,306/x
  3. Step 3: Cross multiply
    133,883x = 207,306 × 207,306
  4. Step 4: Simplify right side
    133,883x = 42,975,777,636
  5. Step 5: Solve for x
    x = 42,975,777,636/133,883
  6. Step 6: Final answer
    x = 320,995.03

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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.