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Finding the Third Proportional to 218,477.25 and 329,720.63

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Solution

The third proportional to 218,477.25 and 329,720.63 is: 497,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,477.25 : 329,720.63 = 329,720.63 : x
  2. Step 2: Convert to fraction form
    218,477.25/329,720.63 = 329,720.63/x
  3. Step 3: Cross multiply
    218,477.25x = 329,720.63 × 329,720.63
  4. Step 4: Simplify right side
    218,477.25x = 108,715,690,550.39
  5. Step 5: Solve for x
    x = 108,715,690,550.39/218,477.25
  6. Step 6: Final answer
    x = 497,606.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.