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Finding the Third Proportional to 61,074 and 135,270

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Solution

The third proportional to 61,074 and 135,270 is: 299,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,074 : 135,270 = 135,270 : x
  2. Step 2: Convert to fraction form
    61,074/135,270 = 135,270/x
  3. Step 3: Cross multiply
    61,074x = 135,270 × 135,270
  4. Step 4: Simplify right side
    61,074x = 18,297,972,900
  5. Step 5: Solve for x
    x = 18,297,972,900/61,074
  6. Step 6: Final answer
    x = 299,603.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.