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Finding the Third Proportional to 5,209.31 and 7,814.53

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Solution

The third proportional to 5,209.31 and 7,814.53 is: 11,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.31 : 7,814.53 = 7,814.53 : x
  2. Step 2: Convert to fraction form
    5,209.31/7,814.53 = 7,814.53/x
  3. Step 3: Cross multiply
    5,209.31x = 7,814.53 × 7,814.53
  4. Step 4: Simplify right side
    5,209.31x = 61,066,898.66
  5. Step 5: Solve for x
    x = 61,066,898.66/5,209.31
  6. Step 6: Final answer
    x = 11,722.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.