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Finding the Third Proportional to 7,312.78 and 15,028.03

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Solution

The third proportional to 7,312.78 and 15,028.03 is: 30,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.78 : 15,028.03 = 15,028.03 : x
  2. Step 2: Convert to fraction form
    7,312.78/15,028.03 = 15,028.03/x
  3. Step 3: Cross multiply
    7,312.78x = 15,028.03 × 15,028.03
  4. Step 4: Simplify right side
    7,312.78x = 225,841,723.25
  5. Step 5: Solve for x
    x = 225,841,723.25/7,312.78
  6. Step 6: Final answer
    x = 30,883.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.