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Finding the Third Proportional to 133,967 and 288,966

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Solution

The third proportional to 133,967 and 288,966 is: 623,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,967 : 288,966 = 288,966 : x
  2. Step 2: Convert to fraction form
    133,967/288,966 = 288,966/x
  3. Step 3: Cross multiply
    133,967x = 288,966 × 288,966
  4. Step 4: Simplify right side
    133,967x = 83,501,349,156
  5. Step 5: Solve for x
    x = 83,501,349,156/133,967
  6. Step 6: Final answer
    x = 623,297.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.