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Finding the Third Proportional to 90,444 and 133,050

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Solution

The third proportional to 90,444 and 133,050 is: 195,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,444 : 133,050 = 133,050 : x
  2. Step 2: Convert to fraction form
    90,444/133,050 = 133,050/x
  3. Step 3: Cross multiply
    90,444x = 133,050 × 133,050
  4. Step 4: Simplify right side
    90,444x = 17,702,302,500
  5. Step 5: Solve for x
    x = 17,702,302,500/90,444
  6. Step 6: Final answer
    x = 195,726.67

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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.