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Finding the Third Proportional to 76,687 and 157,093

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Solution

The third proportional to 76,687 and 157,093 is: 321,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687 : 157,093 = 157,093 : x
  2. Step 2: Convert to fraction form
    76,687/157,093 = 157,093/x
  3. Step 3: Cross multiply
    76,687x = 157,093 × 157,093
  4. Step 4: Simplify right side
    76,687x = 24,678,210,649
  5. Step 5: Solve for x
    x = 24,678,210,649/76,687
  6. Step 6: Final answer
    x = 321,804.36

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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.