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Finding the Third Proportional to 5,105.53 and 7,030.55

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Solution

The third proportional to 5,105.53 and 7,030.55 is: 9,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.53 : 7,030.55 = 7,030.55 : x
  2. Step 2: Convert to fraction form
    5,105.53/7,030.55 = 7,030.55/x
  3. Step 3: Cross multiply
    5,105.53x = 7,030.55 × 7,030.55
  4. Step 4: Simplify right side
    5,105.53x = 49,428,589.36
  5. Step 5: Solve for x
    x = 49,428,589.36/5,105.53
  6. Step 6: Final answer
    x = 9,681.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.