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Finding the Third Proportional to 61,829 and 133,258

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Solution

The third proportional to 61,829 and 133,258 is: 287,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,829 : 133,258 = 133,258 : x
  2. Step 2: Convert to fraction form
    61,829/133,258 = 133,258/x
  3. Step 3: Cross multiply
    61,829x = 133,258 × 133,258
  4. Step 4: Simplify right side
    61,829x = 17,757,694,564
  5. Step 5: Solve for x
    x = 17,757,694,564/61,829
  6. Step 6: Final answer
    x = 287,206.56

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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.