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Finding the Third Proportional to 8,430.75 and 18,317.81

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Solution

The third proportional to 8,430.75 and 18,317.81 is: 39,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.75 : 18,317.81 = 18,317.81 : x
  2. Step 2: Convert to fraction form
    8,430.75/18,317.81 = 18,317.81/x
  3. Step 3: Cross multiply
    8,430.75x = 18,317.81 × 18,317.81
  4. Step 4: Simplify right side
    8,430.75x = 335,542,254.79
  5. Step 5: Solve for x
    x = 335,542,254.79/8,430.75
  6. Step 6: Final answer
    x = 39,799.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.