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Finding the Third Proportional to 218,203 and 338,655

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Solution

The third proportional to 218,203 and 338,655 is: 525,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,203 : 338,655 = 338,655 : x
  2. Step 2: Convert to fraction form
    218,203/338,655 = 338,655/x
  3. Step 3: Cross multiply
    218,203x = 338,655 × 338,655
  4. Step 4: Simplify right side
    218,203x = 114,687,209,025
  5. Step 5: Solve for x
    x = 114,687,209,025/218,203
  6. Step 6: Final answer
    x = 525,598.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.