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Finding the Third Proportional to 61,078 and 135,278

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Solution

The third proportional to 61,078 and 135,278 is: 299,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,078 : 135,278 = 135,278 : x
  2. Step 2: Convert to fraction form
    61,078/135,278 = 135,278/x
  3. Step 3: Cross multiply
    61,078x = 135,278 × 135,278
  4. Step 4: Simplify right side
    61,078x = 18,300,137,284
  5. Step 5: Solve for x
    x = 18,300,137,284/61,078
  6. Step 6: Final answer
    x = 299,619.13

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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.