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Finding the Third Proportional to 76,684.50 and 157,087

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Solution

The third proportional to 76,684.50 and 157,087 is: 321,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.50 : 157,087 = 157,087 : x
  2. Step 2: Convert to fraction form
    76,684.50/157,087 = 157,087/x
  3. Step 3: Cross multiply
    76,684.50x = 157,087 × 157,087
  4. Step 4: Simplify right side
    76,684.50x = 24,676,325,569
  5. Step 5: Solve for x
    x = 24,676,325,569/76,684.50
  6. Step 6: Final answer
    x = 321,790.26

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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.