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Finding the Third Proportional to 212,034 and 318,051

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Solution

The third proportional to 212,034 and 318,051 is: 477,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,034 : 318,051 = 318,051 : x
  2. Step 2: Convert to fraction form
    212,034/318,051 = 318,051/x
  3. Step 3: Cross multiply
    212,034x = 318,051 × 318,051
  4. Step 4: Simplify right side
    212,034x = 101,156,438,601
  5. Step 5: Solve for x
    x = 101,156,438,601/212,034
  6. Step 6: Final answer
    x = 477,076.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.