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Finding the Third Proportional to 358,161.75 and 486,708.75

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Solution

The third proportional to 358,161.75 and 486,708.75 is: 661,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,161.75 : 486,708.75 = 486,708.75 : x
  2. Step 2: Convert to fraction form
    358,161.75/486,708.75 = 486,708.75/x
  3. Step 3: Cross multiply
    358,161.75x = 486,708.75 × 486,708.75
  4. Step 4: Simplify right side
    358,161.75x = 236,885,407,326.56
  5. Step 5: Solve for x
    x = 236,885,407,326.56/358,161.75
  6. Step 6: Final answer
    x = 661,392.25

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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.