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Finding the Third Proportional to 90,762.75 and 133,228.13

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Solution

The third proportional to 90,762.75 and 133,228.13 is: 195,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,762.75 : 133,228.13 = 133,228.13 : x
  2. Step 2: Convert to fraction form
    90,762.75/133,228.13 = 133,228.13/x
  3. Step 3: Cross multiply
    90,762.75x = 133,228.13 × 133,228.13
  4. Step 4: Simplify right side
    90,762.75x = 17,749,733,291.02
  5. Step 5: Solve for x
    x = 17,749,733,291.02/90,762.75
  6. Step 6: Final answer
    x = 195,561.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.