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Finding the Third Proportional to 151,190 and 317,962

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Solution

The third proportional to 151,190 and 317,962 is: 668,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,190 : 317,962 = 317,962 : x
  2. Step 2: Convert to fraction form
    151,190/317,962 = 317,962/x
  3. Step 3: Cross multiply
    151,190x = 317,962 × 317,962
  4. Step 4: Simplify right side
    151,190x = 101,099,833,444
  5. Step 5: Solve for x
    x = 101,099,833,444/151,190
  6. Step 6: Final answer
    x = 668,693.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.