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Finding the Third Proportional to 212,591.25 and 329,156.25

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Solution

The third proportional to 212,591.25 and 329,156.25 is: 509,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,591.25 : 329,156.25 = 329,156.25 : x
  2. Step 2: Convert to fraction form
    212,591.25/329,156.25 = 329,156.25/x
  3. Step 3: Cross multiply
    212,591.25x = 329,156.25 × 329,156.25
  4. Step 4: Simplify right side
    212,591.25x = 108,343,836,914.06
  5. Step 5: Solve for x
    x = 108,343,836,914.06/212,591.25
  6. Step 6: Final answer
    x = 509,634.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.