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Finding the Third Proportional to 105,616.72 and 218,204.51

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Solution

The third proportional to 105,616.72 and 218,204.51 is: 450,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.72 : 218,204.51 = 218,204.51 : x
  2. Step 2: Convert to fraction form
    105,616.72/218,204.51 = 218,204.51/x
  3. Step 3: Cross multiply
    105,616.72x = 218,204.51 × 218,204.51
  4. Step 4: Simplify right side
    105,616.72x = 47,613,207,229.70
  5. Step 5: Solve for x
    x = 47,613,207,229.70/105,616.72
  6. Step 6: Final answer
    x = 450,811.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.