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Finding the Third Proportional to 128,466 and 270,780.75

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Solution

The third proportional to 128,466 and 270,780.75 is: 570,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,466 : 270,780.75 = 270,780.75 : x
  2. Step 2: Convert to fraction form
    128,466/270,780.75 = 270,780.75/x
  3. Step 3: Cross multiply
    128,466x = 270,780.75 × 270,780.75
  4. Step 4: Simplify right side
    128,466x = 73,322,214,570.56
  5. Step 5: Solve for x
    x = 73,322,214,570.56/128,466
  6. Step 6: Final answer
    x = 570,751.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.