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Finding the Third Proportional to 76,640 and 105,836

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Solution

The third proportional to 76,640 and 105,836 is: 146,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640 : 105,836 = 105,836 : x
  2. Step 2: Convert to fraction form
    76,640/105,836 = 105,836/x
  3. Step 3: Cross multiply
    76,640x = 105,836 × 105,836
  4. Step 4: Simplify right side
    76,640x = 11,201,258,896
  5. Step 5: Solve for x
    x = 11,201,258,896/76,640
  6. Step 6: Final answer
    x = 146,154.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.