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Finding the Third Proportional to 8,656.16 and 18,696.29

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Solution

The third proportional to 8,656.16 and 18,696.29 is: 40,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.16 : 18,696.29 = 18,696.29 : x
  2. Step 2: Convert to fraction form
    8,656.16/18,696.29 = 18,696.29/x
  3. Step 3: Cross multiply
    8,656.16x = 18,696.29 × 18,696.29
  4. Step 4: Simplify right side
    8,656.16x = 349,551,151.68
  5. Step 5: Solve for x
    x = 349,551,151.68/8,656.16
  6. Step 6: Final answer
    x = 40,381.77

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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.