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Finding the Third Proportional to 77,690 and 113,964

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Solution

The third proportional to 77,690 and 113,964 is: 167,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,690 : 113,964 = 113,964 : x
  2. Step 2: Convert to fraction form
    77,690/113,964 = 113,964/x
  3. Step 3: Cross multiply
    77,690x = 113,964 × 113,964
  4. Step 4: Simplify right side
    77,690x = 12,987,793,296
  5. Step 5: Solve for x
    x = 12,987,793,296/77,690
  6. Step 6: Final answer
    x = 167,174.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.