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Finding the Third Proportional to 69,201.84 and 90,866.81

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Solution

The third proportional to 69,201.84 and 90,866.81 is: 119,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,201.84 : 90,866.81 = 90,866.81 : x
  2. Step 2: Convert to fraction form
    69,201.84/90,866.81 = 90,866.81/x
  3. Step 3: Cross multiply
    69,201.84x = 90,866.81 × 90,866.81
  4. Step 4: Simplify right side
    69,201.84x = 8,256,777,613.91
  5. Step 5: Solve for x
    x = 8,256,777,613.91/69,201.84
  6. Step 6: Final answer
    x = 119,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.