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Finding the Third Proportional to 5,309.02 and 8,434.34

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Solution

The third proportional to 5,309.02 and 8,434.34 is: 13,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.02 : 8,434.34 = 8,434.34 : x
  2. Step 2: Convert to fraction form
    5,309.02/8,434.34 = 8,434.34/x
  3. Step 3: Cross multiply
    5,309.02x = 8,434.34 × 8,434.34
  4. Step 4: Simplify right side
    5,309.02x = 71,138,022.71
  5. Step 5: Solve for x
    x = 71,138,022.71/5,309.02
  6. Step 6: Final answer
    x = 13,399.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.