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Finding the Third Proportional to 212,572 and 324,508

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Solution

The third proportional to 212,572 and 324,508 is: 495,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,572 : 324,508 = 324,508 : x
  2. Step 2: Convert to fraction form
    212,572/324,508 = 324,508/x
  3. Step 3: Cross multiply
    212,572x = 324,508 × 324,508
  4. Step 4: Simplify right side
    212,572x = 105,305,442,064
  5. Step 5: Solve for x
    x = 105,305,442,064/212,572
  6. Step 6: Final answer
    x = 495,387.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.