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Finding the Third Proportional to 38,187 and 90,289.50

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Solution

The third proportional to 38,187 and 90,289.50 is: 213,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,187 : 90,289.50 = 90,289.50 : x
  2. Step 2: Convert to fraction form
    38,187/90,289.50 = 90,289.50/x
  3. Step 3: Cross multiply
    38,187x = 90,289.50 × 90,289.50
  4. Step 4: Simplify right side
    38,187x = 8,152,193,810.25
  5. Step 5: Solve for x
    x = 8,152,193,810.25/38,187
  6. Step 6: Final answer
    x = 213,480.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.