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Finding the Third Proportional to 61,789 and 134,905

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Solution

The third proportional to 61,789 and 134,905 is: 294,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,789 : 134,905 = 134,905 : x
  2. Step 2: Convert to fraction form
    61,789/134,905 = 134,905/x
  3. Step 3: Cross multiply
    61,789x = 134,905 × 134,905
  4. Step 4: Simplify right side
    61,789x = 18,199,359,025
  5. Step 5: Solve for x
    x = 18,199,359,025/61,789
  6. Step 6: Final answer
    x = 294,540.44

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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.