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Finding the Third Proportional to 212,722 and 314,880

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Solution

The third proportional to 212,722 and 314,880 is: 466,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,722 : 314,880 = 314,880 : x
  2. Step 2: Convert to fraction form
    212,722/314,880 = 314,880/x
  3. Step 3: Cross multiply
    212,722x = 314,880 × 314,880
  4. Step 4: Simplify right side
    212,722x = 99,149,414,400
  5. Step 5: Solve for x
    x = 99,149,414,400/212,722
  6. Step 6: Final answer
    x = 466,098.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.