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Finding the Third Proportional to 8,358.19 and 12,701.81

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Solution

The third proportional to 8,358.19 and 12,701.81 is: 19,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.19 : 12,701.81 = 12,701.81 : x
  2. Step 2: Convert to fraction form
    8,358.19/12,701.81 = 12,701.81/x
  3. Step 3: Cross multiply
    8,358.19x = 12,701.81 × 12,701.81
  4. Step 4: Simplify right side
    8,358.19x = 161,336,040.79
  5. Step 5: Solve for x
    x = 161,336,040.79/8,358.19
  6. Step 6: Final answer
    x = 19,302.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.