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Finding the Third Proportional to 89,301 and 121,278.75

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Solution

The third proportional to 89,301 and 121,278.75 is: 164,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,301 : 121,278.75 = 121,278.75 : x
  2. Step 2: Convert to fraction form
    89,301/121,278.75 = 121,278.75/x
  3. Step 3: Cross multiply
    89,301x = 121,278.75 × 121,278.75
  4. Step 4: Simplify right side
    89,301x = 14,708,535,201.56
  5. Step 5: Solve for x
    x = 14,708,535,201.56/89,301
  6. Step 6: Final answer
    x = 164,707.40

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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.