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Finding the Third Proportional to 90,171 and 140,172.50

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Solution

The third proportional to 90,171 and 140,172.50 is: 217,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,171 : 140,172.50 = 140,172.50 : x
  2. Step 2: Convert to fraction form
    90,171/140,172.50 = 140,172.50/x
  3. Step 3: Cross multiply
    90,171x = 140,172.50 × 140,172.50
  4. Step 4: Simplify right side
    90,171x = 19,648,329,756.25
  5. Step 5: Solve for x
    x = 19,648,329,756.25/90,171
  6. Step 6: Final answer
    x = 217,900.76

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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.