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Finding the Third Proportional to 218,090.25 and 328,227.75

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Solution

The third proportional to 218,090.25 and 328,227.75 is: 493,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,090.25 : 328,227.75 = 328,227.75 : x
  2. Step 2: Convert to fraction form
    218,090.25/328,227.75 = 328,227.75/x
  3. Step 3: Cross multiply
    218,090.25x = 328,227.75 × 328,227.75
  4. Step 4: Simplify right side
    218,090.25x = 107,733,455,870.06
  5. Step 5: Solve for x
    x = 107,733,455,870.06/218,090.25
  6. Step 6: Final answer
    x = 493,985.66

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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.