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Finding the Third Proportional to 90,154 and 140,145

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Solution

The third proportional to 90,154 and 140,145 is: 217,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,154 : 140,145 = 140,145 : x
  2. Step 2: Convert to fraction form
    90,154/140,145 = 140,145/x
  3. Step 3: Cross multiply
    90,154x = 140,145 × 140,145
  4. Step 4: Simplify right side
    90,154x = 19,640,621,025
  5. Step 5: Solve for x
    x = 19,640,621,025/90,154
  6. Step 6: Final answer
    x = 217,856.35

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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.