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Finding the Third Proportional to 8,531.58 and 18,669.23

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Solution

The third proportional to 8,531.58 and 18,669.23 is: 40,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.58 : 18,669.23 = 18,669.23 : x
  2. Step 2: Convert to fraction form
    8,531.58/18,669.23 = 18,669.23/x
  3. Step 3: Cross multiply
    8,531.58x = 18,669.23 × 18,669.23
  4. Step 4: Simplify right side
    8,531.58x = 348,540,312.15
  5. Step 5: Solve for x
    x = 348,540,312.15/8,531.58
  6. Step 6: Final answer
    x = 40,852.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.