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Finding the Third Proportional to 218,274.25 and 328,223.75

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Solution

The third proportional to 218,274.25 and 328,223.75 is: 493,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,274.25 : 328,223.75 = 328,223.75 : x
  2. Step 2: Convert to fraction form
    218,274.25/328,223.75 = 328,223.75/x
  3. Step 3: Cross multiply
    218,274.25x = 328,223.75 × 328,223.75
  4. Step 4: Simplify right side
    218,274.25x = 107,730,830,064.06
  5. Step 5: Solve for x
    x = 107,730,830,064.06/218,274.25
  6. Step 6: Final answer
    x = 493,557.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.