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Finding the Third Proportional to 213,170 and 328,043

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Solution

The third proportional to 213,170 and 328,043 is: 504,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,170 : 328,043 = 328,043 : x
  2. Step 2: Convert to fraction form
    213,170/328,043 = 328,043/x
  3. Step 3: Cross multiply
    213,170x = 328,043 × 328,043
  4. Step 4: Simplify right side
    213,170x = 107,612,209,849
  5. Step 5: Solve for x
    x = 107,612,209,849/213,170
  6. Step 6: Final answer
    x = 504,818.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.