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Finding the Third Proportional to 90,256 and 140,319

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Solution

The third proportional to 90,256 and 140,319 is: 218,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,256 : 140,319 = 140,319 : x
  2. Step 2: Convert to fraction form
    90,256/140,319 = 140,319/x
  3. Step 3: Cross multiply
    90,256x = 140,319 × 140,319
  4. Step 4: Simplify right side
    90,256x = 19,689,421,761
  5. Step 5: Solve for x
    x = 19,689,421,761/90,256
  6. Step 6: Final answer
    x = 218,150.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.