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Finding the Third Proportional to 90,140 and 140,163

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Solution

The third proportional to 90,140 and 140,163 is: 217,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,140 : 140,163 = 140,163 : x
  2. Step 2: Convert to fraction form
    90,140/140,163 = 140,163/x
  3. Step 3: Cross multiply
    90,140x = 140,163 × 140,163
  4. Step 4: Simplify right side
    90,140x = 19,645,666,569
  5. Step 5: Solve for x
    x = 19,645,666,569/90,140
  6. Step 6: Final answer
    x = 217,946.16

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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.