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Finding the Third Proportional to 4,519.13 and 10,710.56

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Solution

The third proportional to 4,519.13 and 10,710.56 is: 25,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.13 : 10,710.56 = 10,710.56 : x
  2. Step 2: Convert to fraction form
    4,519.13/10,710.56 = 10,710.56/x
  3. Step 3: Cross multiply
    4,519.13x = 10,710.56 × 10,710.56
  4. Step 4: Simplify right side
    4,519.13x = 114,716,149.07
  5. Step 5: Solve for x
    x = 114,716,149.07/4,519.13
  6. Step 6: Final answer
    x = 25,384.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.