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Finding the Third Proportional to 90,780.75 and 128,157.19

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Solution

The third proportional to 90,780.75 and 128,157.19 is: 180,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,780.75 : 128,157.19 = 128,157.19 : x
  2. Step 2: Convert to fraction form
    90,780.75/128,157.19 = 128,157.19/x
  3. Step 3: Cross multiply
    90,780.75x = 128,157.19 × 128,157.19
  4. Step 4: Simplify right side
    90,780.75x = 16,424,264,707.91
  5. Step 5: Solve for x
    x = 16,424,264,707.91/90,780.75
  6. Step 6: Final answer
    x = 180,922.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.