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Finding the Third Proportional to 8,140 and 19,120

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Solution

The third proportional to 8,140 and 19,120 is: 44,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140 : 19,120 = 19,120 : x
  2. Step 2: Convert to fraction form
    8,140/19,120 = 19,120/x
  3. Step 3: Cross multiply
    8,140x = 19,120 × 19,120
  4. Step 4: Simplify right side
    8,140x = 365,574,400
  5. Step 5: Solve for x
    x = 365,574,400/8,140
  6. Step 6: Final answer
    x = 44,910.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.