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Finding the Third Proportional to 8,505.47 and 18,486.51

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Solution

The third proportional to 8,505.47 and 18,486.51 is: 40,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.47 : 18,486.51 = 18,486.51 : x
  2. Step 2: Convert to fraction form
    8,505.47/18,486.51 = 18,486.51/x
  3. Step 3: Cross multiply
    8,505.47x = 18,486.51 × 18,486.51
  4. Step 4: Simplify right side
    8,505.47x = 341,751,043.31
  5. Step 5: Solve for x
    x = 341,751,043.31/8,505.47
  6. Step 6: Final answer
    x = 40,180.13

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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.