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Finding the Third Proportional to 133,786 and 207,376

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Solution

The third proportional to 133,786 and 207,376 is: 321,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,786 : 207,376 = 207,376 : x
  2. Step 2: Convert to fraction form
    133,786/207,376 = 207,376/x
  3. Step 3: Cross multiply
    133,786x = 207,376 × 207,376
  4. Step 4: Simplify right side
    133,786x = 43,004,805,376
  5. Step 5: Solve for x
    x = 43,004,805,376/133,786
  6. Step 6: Final answer
    x = 321,444.74

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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.