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Finding the Third Proportional to 76,739 and 157,169

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Solution

The third proportional to 76,739 and 157,169 is: 321,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,739 : 157,169 = 157,169 : x
  2. Step 2: Convert to fraction form
    76,739/157,169 = 157,169/x
  3. Step 3: Cross multiply
    76,739x = 157,169 × 157,169
  4. Step 4: Simplify right side
    76,739x = 24,702,094,561
  5. Step 5: Solve for x
    x = 24,702,094,561/76,739
  6. Step 6: Final answer
    x = 321,897.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.