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Finding the Third Proportional to 30,709.13 and 39,502.69

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Solution

The third proportional to 30,709.13 and 39,502.69 is: 50,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 39,502.69 = 39,502.69 : x
  2. Step 2: Convert to fraction form
    30,709.13/39,502.69 = 39,502.69/x
  3. Step 3: Cross multiply
    30,709.13x = 39,502.69 × 39,502.69
  4. Step 4: Simplify right side
    30,709.13x = 1,560,462,319.72
  5. Step 5: Solve for x
    x = 1,560,462,319.72/30,709.13
  6. Step 6: Final answer
    x = 50,814.29

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.