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Finding the Third Proportional to 76,308 and 102,686

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Solution

The third proportional to 76,308 and 102,686 is: 138,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308 : 102,686 = 102,686 : x
  2. Step 2: Convert to fraction form
    76,308/102,686 = 102,686/x
  3. Step 3: Cross multiply
    76,308x = 102,686 × 102,686
  4. Step 4: Simplify right side
    76,308x = 10,544,414,596
  5. Step 5: Solve for x
    x = 10,544,414,596/76,308
  6. Step 6: Final answer
    x = 138,182.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.