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Finding the Third Proportional to 7,260.50 and 15,904.38

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Solution

The third proportional to 7,260.50 and 15,904.38 is: 34,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.50 : 15,904.38 = 15,904.38 : x
  2. Step 2: Convert to fraction form
    7,260.50/15,904.38 = 15,904.38/x
  3. Step 3: Cross multiply
    7,260.50x = 15,904.38 × 15,904.38
  4. Step 4: Simplify right side
    7,260.50x = 252,949,144.14
  5. Step 5: Solve for x
    x = 252,949,144.14/7,260.50
  6. Step 6: Final answer
    x = 34,839.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.