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Finding the Third Proportional to 61,777 and 134,642

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Solution

The third proportional to 61,777 and 134,642 is: 293,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,777 : 134,642 = 134,642 : x
  2. Step 2: Convert to fraction form
    61,777/134,642 = 134,642/x
  3. Step 3: Cross multiply
    61,777x = 134,642 × 134,642
  4. Step 4: Simplify right side
    61,777x = 18,128,468,164
  5. Step 5: Solve for x
    x = 18,128,468,164/61,777
  6. Step 6: Final answer
    x = 293,450.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.