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Finding the Third Proportional to 218,959 and 330,005

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Solution

The third proportional to 218,959 and 330,005 is: 497,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,959 : 330,005 = 330,005 : x
  2. Step 2: Convert to fraction form
    218,959/330,005 = 330,005/x
  3. Step 3: Cross multiply
    218,959x = 330,005 × 330,005
  4. Step 4: Simplify right side
    218,959x = 108,903,300,025
  5. Step 5: Solve for x
    x = 108,903,300,025/218,959
  6. Step 6: Final answer
    x = 497,368.46

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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.