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Finding the Third Proportional to 7,222.50 and 13,066.50

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Solution

The third proportional to 7,222.50 and 13,066.50 is: 23,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.50 : 13,066.50 = 13,066.50 : x
  2. Step 2: Convert to fraction form
    7,222.50/13,066.50 = 13,066.50/x
  3. Step 3: Cross multiply
    7,222.50x = 13,066.50 × 13,066.50
  4. Step 4: Simplify right side
    7,222.50x = 170,733,422.25
  5. Step 5: Solve for x
    x = 170,733,422.25/7,222.50
  6. Step 6: Final answer
    x = 23,639.10

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.