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Finding the Third Proportional to 89,279.72 and 121,253.20

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Solution

The third proportional to 89,279.72 and 121,253.20 is: 164,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,279.72 : 121,253.20 = 121,253.20 : x
  2. Step 2: Convert to fraction form
    89,279.72/121,253.20 = 121,253.20/x
  3. Step 3: Cross multiply
    89,279.72x = 121,253.20 × 121,253.20
  4. Step 4: Simplify right side
    89,279.72x = 14,702,339,268.07
  5. Step 5: Solve for x
    x = 14,702,339,268.07/89,279.72
  6. Step 6: Final answer
    x = 164,677.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.