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Finding the Third Proportional to 89,272.13 and 138,168.28

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Solution

The third proportional to 89,272.13 and 138,168.28 is: 213,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,272.13 : 138,168.28 = 138,168.28 : x
  2. Step 2: Convert to fraction form
    89,272.13/138,168.28 = 138,168.28/x
  3. Step 3: Cross multiply
    89,272.13x = 138,168.28 × 138,168.28
  4. Step 4: Simplify right side
    89,272.13x = 19,090,473,943.58
  5. Step 5: Solve for x
    x = 19,090,473,943.58/89,272.13
  6. Step 6: Final answer
    x = 213,845.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.