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Finding the Third Proportional to 18,078.47 and 39,266.58

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Solution

The third proportional to 18,078.47 and 39,266.58 is: 85,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.47 : 39,266.58 = 39,266.58 : x
  2. Step 2: Convert to fraction form
    18,078.47/39,266.58 = 39,266.58/x
  3. Step 3: Cross multiply
    18,078.47x = 39,266.58 × 39,266.58
  4. Step 4: Simplify right side
    18,078.47x = 1,541,864,157.65
  5. Step 5: Solve for x
    x = 1,541,864,157.65/18,078.47
  6. Step 6: Final answer
    x = 85,287.32

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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.