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Finding the Third Proportional to 83,247.75 and 128,101.50

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Solution

The third proportional to 83,247.75 and 128,101.50 is: 197,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,247.75 : 128,101.50 = 128,101.50 : x
  2. Step 2: Convert to fraction form
    83,247.75/128,101.50 = 128,101.50/x
  3. Step 3: Cross multiply
    83,247.75x = 128,101.50 × 128,101.50
  4. Step 4: Simplify right side
    83,247.75x = 16,409,994,302.25
  5. Step 5: Solve for x
    x = 16,409,994,302.25/83,247.75
  6. Step 6: Final answer
    x = 197,122.38

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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.