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Finding the Third Proportional to 89,301.75 and 121,279.88

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Solution

The third proportional to 89,301.75 and 121,279.88 is: 164,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,301.75 : 121,279.88 = 121,279.88 : x
  2. Step 2: Convert to fraction form
    89,301.75/121,279.88 = 121,279.88/x
  3. Step 3: Cross multiply
    89,301.75x = 121,279.88 × 121,279.88
  4. Step 4: Simplify right side
    89,301.75x = 14,708,808,080.02
  5. Step 5: Solve for x
    x = 14,708,808,080.02/89,301.75
  6. Step 6: Final answer
    x = 164,709.07

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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.