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Finding the Third Proportional to 76,629 and 107,283

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Solution

The third proportional to 76,629 and 107,283 is: 150,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,629 : 107,283 = 107,283 : x
  2. Step 2: Convert to fraction form
    76,629/107,283 = 107,283/x
  3. Step 3: Cross multiply
    76,629x = 107,283 × 107,283
  4. Step 4: Simplify right side
    76,629x = 11,509,642,089
  5. Step 5: Solve for x
    x = 11,509,642,089/76,629
  6. Step 6: Final answer
    x = 150,199.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.