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Finding the Third Proportional to 4,531.50 and 7,117.50

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Solution

The third proportional to 4,531.50 and 7,117.50 is: 11,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.50 : 7,117.50 = 7,117.50 : x
  2. Step 2: Convert to fraction form
    4,531.50/7,117.50 = 7,117.50/x
  3. Step 3: Cross multiply
    4,531.50x = 7,117.50 × 7,117.50
  4. Step 4: Simplify right side
    4,531.50x = 50,658,806.25
  5. Step 5: Solve for x
    x = 50,658,806.25/4,531.50
  6. Step 6: Final answer
    x = 11,179.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.