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Finding the Third Proportional to 3,962.81 and 8,602.31

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Solution

The third proportional to 3,962.81 and 8,602.31 is: 18,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.81 : 8,602.31 = 8,602.31 : x
  2. Step 2: Convert to fraction form
    3,962.81/8,602.31 = 8,602.31/x
  3. Step 3: Cross multiply
    3,962.81x = 8,602.31 × 8,602.31
  4. Step 4: Simplify right side
    3,962.81x = 73,999,780.35
  5. Step 5: Solve for x
    x = 73,999,780.35/3,962.81
  6. Step 6: Final answer
    x = 18,673.55

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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.