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Finding the Third Proportional to 218,955 and 329,999

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Solution

The third proportional to 218,955 and 329,999 is: 497,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,955 : 329,999 = 329,999 : x
  2. Step 2: Convert to fraction form
    218,955/329,999 = 329,999/x
  3. Step 3: Cross multiply
    218,955x = 329,999 × 329,999
  4. Step 4: Simplify right side
    218,955x = 108,899,340,001
  5. Step 5: Solve for x
    x = 108,899,340,001/218,955
  6. Step 6: Final answer
    x = 497,359.46

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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.