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Finding the Third Proportional to 75,625.50 and 114,050.25

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Solution

The third proportional to 75,625.50 and 114,050.25 is: 171,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,625.50 : 114,050.25 = 114,050.25 : x
  2. Step 2: Convert to fraction form
    75,625.50/114,050.25 = 114,050.25/x
  3. Step 3: Cross multiply
    75,625.50x = 114,050.25 × 114,050.25
  4. Step 4: Simplify right side
    75,625.50x = 13,007,459,525.06
  5. Step 5: Solve for x
    x = 13,007,459,525.06/75,625.50
  6. Step 6: Final answer
    x = 171,998.33

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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.