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Finding the Third Proportional to 218,100 and 328,242

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Solution

The third proportional to 218,100 and 328,242 is: 494,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,100 : 328,242 = 328,242 : x
  2. Step 2: Convert to fraction form
    218,100/328,242 = 328,242/x
  3. Step 3: Cross multiply
    218,100x = 328,242 × 328,242
  4. Step 4: Simplify right side
    218,100x = 107,742,810,564
  5. Step 5: Solve for x
    x = 107,742,810,564/218,100
  6. Step 6: Final answer
    x = 494,006.47

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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.