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Finding the Third Proportional to 140,282 and 212,097

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Solution

The third proportional to 140,282 and 212,097 is: 320,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,282 : 212,097 = 212,097 : x
  2. Step 2: Convert to fraction form
    140,282/212,097 = 212,097/x
  3. Step 3: Cross multiply
    140,282x = 212,097 × 212,097
  4. Step 4: Simplify right side
    140,282x = 44,985,137,409
  5. Step 5: Solve for x
    x = 44,985,137,409/140,282
  6. Step 6: Final answer
    x = 320,676.48

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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.