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Finding the Third Proportional to 140,827 and 212,439

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Solution

The third proportional to 140,827 and 212,439 is: 320,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,827 : 212,439 = 212,439 : x
  2. Step 2: Convert to fraction form
    140,827/212,439 = 212,439/x
  3. Step 3: Cross multiply
    140,827x = 212,439 × 212,439
  4. Step 4: Simplify right side
    140,827x = 45,130,328,721
  5. Step 5: Solve for x
    x = 45,130,328,721/140,827
  6. Step 6: Final answer
    x = 320,466.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.