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Finding the Third Proportional to 218,646 and 328,644

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Solution

The third proportional to 218,646 and 328,644 is: 493,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,646 : 328,644 = 328,644 : x
  2. Step 2: Convert to fraction form
    218,646/328,644 = 328,644/x
  3. Step 3: Cross multiply
    218,646x = 328,644 × 328,644
  4. Step 4: Simplify right side
    218,646x = 108,006,878,736
  5. Step 5: Solve for x
    x = 108,006,878,736/218,646
  6. Step 6: Final answer
    x = 493,980.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.