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Finding the Third Proportional to 76,942 and 115,919.50

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Solution

The third proportional to 76,942 and 115,919.50 is: 174,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,942 : 115,919.50 = 115,919.50 : x
  2. Step 2: Convert to fraction form
    76,942/115,919.50 = 115,919.50/x
  3. Step 3: Cross multiply
    76,942x = 115,919.50 × 115,919.50
  4. Step 4: Simplify right side
    76,942x = 13,437,330,480.25
  5. Step 5: Solve for x
    x = 13,437,330,480.25/76,942
  6. Step 6: Final answer
    x = 174,642.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.