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Finding the Third Proportional to 76,964 and 115,138

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Solution

The third proportional to 76,964 and 115,138 is: 172,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,964 : 115,138 = 115,138 : x
  2. Step 2: Convert to fraction form
    76,964/115,138 = 115,138/x
  3. Step 3: Cross multiply
    76,964x = 115,138 × 115,138
  4. Step 4: Simplify right side
    76,964x = 13,256,759,044
  5. Step 5: Solve for x
    x = 13,256,759,044/76,964
  6. Step 6: Final answer
    x = 172,246.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.