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Finding the Third Proportional to 133,888 and 207,308

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Solution

The third proportional to 133,888 and 207,308 is: 320,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,888 : 207,308 = 207,308 : x
  2. Step 2: Convert to fraction form
    133,888/207,308 = 207,308/x
  3. Step 3: Cross multiply
    133,888x = 207,308 × 207,308
  4. Step 4: Simplify right side
    133,888x = 42,976,606,864
  5. Step 5: Solve for x
    x = 42,976,606,864/133,888
  6. Step 6: Final answer
    x = 320,989.24

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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.