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Finding the Third Proportional to 76,640 and 115,064

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Solution

The third proportional to 76,640 and 115,064 is: 172,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640 : 115,064 = 115,064 : x
  2. Step 2: Convert to fraction form
    76,640/115,064 = 115,064/x
  3. Step 3: Cross multiply
    76,640x = 115,064 × 115,064
  4. Step 4: Simplify right side
    76,640x = 13,239,724,096
  5. Step 5: Solve for x
    x = 13,239,724,096/76,640
  6. Step 6: Final answer
    x = 172,752.14

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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.