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Finding the Third Proportional to 133,880 and 207,300

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Solution

The third proportional to 133,880 and 207,300 is: 320,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,880 : 207,300 = 207,300 : x
  2. Step 2: Convert to fraction form
    133,880/207,300 = 207,300/x
  3. Step 3: Cross multiply
    133,880x = 207,300 × 207,300
  4. Step 4: Simplify right side
    133,880x = 42,973,290,000
  5. Step 5: Solve for x
    x = 42,973,290,000/133,880
  6. Step 6: Final answer
    x = 320,983.64

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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.