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Finding the Third Proportional to 5,102 and 7,221.50

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Solution

The third proportional to 5,102 and 7,221.50 is: 10,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 7,221.50 = 7,221.50 : x
  2. Step 2: Convert to fraction form
    5,102/7,221.50 = 7,221.50/x
  3. Step 3: Cross multiply
    5,102x = 7,221.50 × 7,221.50
  4. Step 4: Simplify right side
    5,102x = 52,150,062.25
  5. Step 5: Solve for x
    x = 52,150,062.25/5,102
  6. Step 6: Final answer
    x = 10,221.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.