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Finding the Third Proportional to 76,677.75 and 157,179.38

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Solution

The third proportional to 76,677.75 and 157,179.38 is: 322,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.75 : 157,179.38 = 157,179.38 : x
  2. Step 2: Convert to fraction form
    76,677.75/157,179.38 = 157,179.38/x
  3. Step 3: Cross multiply
    76,677.75x = 157,179.38 × 157,179.38
  4. Step 4: Simplify right side
    76,677.75x = 24,705,355,925.39
  5. Step 5: Solve for x
    x = 24,705,355,925.39/76,677.75
  6. Step 6: Final answer
    x = 322,197.19

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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.