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Finding the Third Proportional to 133,830 and 207,345

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Solution

The third proportional to 133,830 and 207,345 is: 321,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,830 : 207,345 = 207,345 : x
  2. Step 2: Convert to fraction form
    133,830/207,345 = 207,345/x
  3. Step 3: Cross multiply
    133,830x = 207,345 × 207,345
  4. Step 4: Simplify right side
    133,830x = 42,991,949,025
  5. Step 5: Solve for x
    x = 42,991,949,025/133,830
  6. Step 6: Final answer
    x = 321,242.99

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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.