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Finding the Third Proportional to 133,962 and 207,240

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Solution

The third proportional to 133,962 and 207,240 is: 320,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,962 : 207,240 = 207,240 : x
  2. Step 2: Convert to fraction form
    133,962/207,240 = 207,240/x
  3. Step 3: Cross multiply
    133,962x = 207,240 × 207,240
  4. Step 4: Simplify right side
    133,962x = 42,948,417,600
  5. Step 5: Solve for x
    x = 42,948,417,600/133,962
  6. Step 6: Final answer
    x = 320,601.50

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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.