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Finding the Third Proportional to 212,454 and 326,109

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Solution

The third proportional to 212,454 and 326,109 is: 500,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,454 : 326,109 = 326,109 : x
  2. Step 2: Convert to fraction form
    212,454/326,109 = 326,109/x
  3. Step 3: Cross multiply
    212,454x = 326,109 × 326,109
  4. Step 4: Simplify right side
    212,454x = 106,347,079,881
  5. Step 5: Solve for x
    x = 106,347,079,881/212,454
  6. Step 6: Final answer
    x = 500,565.20

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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.