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Finding the Third Proportional to 61,642 and 131,716

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Solution

The third proportional to 61,642 and 131,716 is: 281,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,642 : 131,716 = 131,716 : x
  2. Step 2: Convert to fraction form
    61,642/131,716 = 131,716/x
  3. Step 3: Cross multiply
    61,642x = 131,716 × 131,716
  4. Step 4: Simplify right side
    61,642x = 17,349,104,656
  5. Step 5: Solve for x
    x = 17,349,104,656/61,642
  6. Step 6: Final answer
    x = 281,449.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.