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Finding the Third Proportional to 133,778 and 289,972

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Solution

The third proportional to 133,778 and 289,972 is: 628,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,778 : 289,972 = 289,972 : x
  2. Step 2: Convert to fraction form
    133,778/289,972 = 289,972/x
  3. Step 3: Cross multiply
    133,778x = 289,972 × 289,972
  4. Step 4: Simplify right side
    133,778x = 84,083,760,784
  5. Step 5: Solve for x
    x = 84,083,760,784/133,778
  6. Step 6: Final answer
    x = 628,532.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.