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Finding the Third Proportional to 133,985 and 207,369

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Solution

The third proportional to 133,985 and 207,369 is: 320,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,985 : 207,369 = 207,369 : x
  2. Step 2: Convert to fraction form
    133,985/207,369 = 207,369/x
  3. Step 3: Cross multiply
    133,985x = 207,369 × 207,369
  4. Step 4: Simplify right side
    133,985x = 43,001,902,161
  5. Step 5: Solve for x
    x = 43,001,902,161/133,985
  6. Step 6: Final answer
    x = 320,945.64

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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.