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Finding the Third Proportional to 61,533 and 134,455

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Solution

The third proportional to 61,533 and 134,455 is: 293,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,533 : 134,455 = 134,455 : x
  2. Step 2: Convert to fraction form
    61,533/134,455 = 134,455/x
  3. Step 3: Cross multiply
    61,533x = 134,455 × 134,455
  4. Step 4: Simplify right side
    61,533x = 18,078,147,025
  5. Step 5: Solve for x
    x = 18,078,147,025/61,533
  6. Step 6: Final answer
    x = 293,795.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.