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Finding the Third Proportional to 212,580 and 324,520

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Solution

The third proportional to 212,580 and 324,520 is: 495,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,580 : 324,520 = 324,520 : x
  2. Step 2: Convert to fraction form
    212,580/324,520 = 324,520/x
  3. Step 3: Cross multiply
    212,580x = 324,520 × 324,520
  4. Step 4: Simplify right side
    212,580x = 105,313,230,400
  5. Step 5: Solve for x
    x = 105,313,230,400/212,580
  6. Step 6: Final answer
    x = 495,405.17

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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.