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Finding the Third Proportional to 76,307 and 116,729

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Solution

The third proportional to 76,307 and 116,729 is: 178,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307 : 116,729 = 116,729 : x
  2. Step 2: Convert to fraction form
    76,307/116,729 = 116,729/x
  3. Step 3: Cross multiply
    76,307x = 116,729 × 116,729
  4. Step 4: Simplify right side
    76,307x = 13,625,659,441
  5. Step 5: Solve for x
    x = 13,625,659,441/76,307
  6. Step 6: Final answer
    x = 178,563.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.