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Finding the Third Proportional to 39,159 and 76,346

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Solution

The third proportional to 39,159 and 76,346 is: 148,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,159 : 76,346 = 76,346 : x
  2. Step 2: Convert to fraction form
    39,159/76,346 = 76,346/x
  3. Step 3: Cross multiply
    39,159x = 76,346 × 76,346
  4. Step 4: Simplify right side
    39,159x = 5,828,711,716
  5. Step 5: Solve for x
    x = 5,828,711,716/39,159
  6. Step 6: Final answer
    x = 148,847.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.