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Finding the Third Proportional to 73,084.50 and 112,866.75

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Solution

The third proportional to 73,084.50 and 112,866.75 is: 174,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084.50 : 112,866.75 = 112,866.75 : x
  2. Step 2: Convert to fraction form
    73,084.50/112,866.75 = 112,866.75/x
  3. Step 3: Cross multiply
    73,084.50x = 112,866.75 × 112,866.75
  4. Step 4: Simplify right side
    73,084.50x = 12,738,903,255.56
  5. Step 5: Solve for x
    x = 12,738,903,255.56/73,084.50
  6. Step 6: Final answer
    x = 174,303.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.