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Finding the Third Proportional to 212,720 and 453,599

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Solution

The third proportional to 212,720 and 453,599 is: 967,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,720 : 453,599 = 453,599 : x
  2. Step 2: Convert to fraction form
    212,720/453,599 = 453,599/x
  3. Step 3: Cross multiply
    212,720x = 453,599 × 453,599
  4. Step 4: Simplify right side
    212,720x = 205,752,052,801
  5. Step 5: Solve for x
    x = 205,752,052,801/212,720
  6. Step 6: Final answer
    x = 967,243.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.