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Finding the Third Proportional to 61,980 and 134,259

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Solution

The third proportional to 61,980 and 134,259 is: 290,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,980 : 134,259 = 134,259 : x
  2. Step 2: Convert to fraction form
    61,980/134,259 = 134,259/x
  3. Step 3: Cross multiply
    61,980x = 134,259 × 134,259
  4. Step 4: Simplify right side
    61,980x = 18,025,479,081
  5. Step 5: Solve for x
    x = 18,025,479,081/61,980
  6. Step 6: Final answer
    x = 290,827.35

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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.