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Finding the Third Proportional to 76,878 and 157,583.25

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Solution

The third proportional to 76,878 and 157,583.25 is: 323,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878 : 157,583.25 = 157,583.25 : x
  2. Step 2: Convert to fraction form
    76,878/157,583.25 = 157,583.25/x
  3. Step 3: Cross multiply
    76,878x = 157,583.25 × 157,583.25
  4. Step 4: Simplify right side
    76,878x = 24,832,480,680.56
  5. Step 5: Solve for x
    x = 24,832,480,680.56/76,878
  6. Step 6: Final answer
    x = 323,011.53

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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.