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Finding the Third Proportional to 218,477.25 and 295,179.19

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Solution

The third proportional to 218,477.25 and 295,179.19 is: 398,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,477.25 : 295,179.19 = 295,179.19 : x
  2. Step 2: Convert to fraction form
    218,477.25/295,179.19 = 295,179.19/x
  3. Step 3: Cross multiply
    218,477.25x = 295,179.19 × 295,179.19
  4. Step 4: Simplify right side
    218,477.25x = 87,130,752,733.16
  5. Step 5: Solve for x
    x = 87,130,752,733.16/218,477.25
  6. Step 6: Final answer
    x = 398,809.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.