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Finding the Third Proportional to 83,151.75 and 128,292.75

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Solution

The third proportional to 83,151.75 and 128,292.75 is: 197,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.75 : 128,292.75 = 128,292.75 : x
  2. Step 2: Convert to fraction form
    83,151.75/128,292.75 = 128,292.75/x
  3. Step 3: Cross multiply
    83,151.75x = 128,292.75 × 128,292.75
  4. Step 4: Simplify right side
    83,151.75x = 16,459,029,702.56
  5. Step 5: Solve for x
    x = 16,459,029,702.56/83,151.75
  6. Step 6: Final answer
    x = 197,939.67

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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.