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Finding the Third Proportional to 90,163.13 and 140,347.69

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Solution

The third proportional to 90,163.13 and 140,347.69 is: 218,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,163.13 : 140,347.69 = 140,347.69 : x
  2. Step 2: Convert to fraction form
    90,163.13/140,347.69 = 140,347.69/x
  3. Step 3: Cross multiply
    90,163.13x = 140,347.69 × 140,347.69
  4. Step 4: Simplify right side
    90,163.13x = 19,697,473,386.60
  5. Step 5: Solve for x
    x = 19,697,473,386.60/90,163.13
  6. Step 6: Final answer
    x = 218,464.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.