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Finding the Third Proportional to 84,611.75 and 112,314.38

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Solution

The third proportional to 84,611.75 and 112,314.38 is: 149,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,611.75 : 112,314.38 = 112,314.38 : x
  2. Step 2: Convert to fraction form
    84,611.75/112,314.38 = 112,314.38/x
  3. Step 3: Cross multiply
    84,611.75x = 112,314.38 × 112,314.38
  4. Step 4: Simplify right side
    84,611.75x = 12,614,518,831.64
  5. Step 5: Solve for x
    x = 12,614,518,831.64/84,611.75
  6. Step 6: Final answer
    x = 149,087.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.