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Finding the Third Proportional to 8,304.19 and 17,912.81

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Solution

The third proportional to 8,304.19 and 17,912.81 is: 38,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.19 : 17,912.81 = 17,912.81 : x
  2. Step 2: Convert to fraction form
    8,304.19/17,912.81 = 17,912.81/x
  3. Step 3: Cross multiply
    8,304.19x = 17,912.81 × 17,912.81
  4. Step 4: Simplify right side
    8,304.19x = 320,868,851.66
  5. Step 5: Solve for x
    x = 320,868,851.66/8,304.19
  6. Step 6: Final answer
    x = 38,639.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.