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Finding the Third Proportional to 218,270 and 330,645

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Solution

The third proportional to 218,270 and 330,645 is: 500,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,270 : 330,645 = 330,645 : x
  2. Step 2: Convert to fraction form
    218,270/330,645 = 330,645/x
  3. Step 3: Cross multiply
    218,270x = 330,645 × 330,645
  4. Step 4: Simplify right side
    218,270x = 109,326,116,025
  5. Step 5: Solve for x
    x = 109,326,116,025/218,270
  6. Step 6: Final answer
    x = 500,875.59

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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.