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Finding the Third Proportional to 145,192 and 312,626

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Solution

The third proportional to 145,192 and 312,626 is: 673,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,192 : 312,626 = 312,626 : x
  2. Step 2: Convert to fraction form
    145,192/312,626 = 312,626/x
  3. Step 3: Cross multiply
    145,192x = 312,626 × 312,626
  4. Step 4: Simplify right side
    145,192x = 97,735,015,876
  5. Step 5: Solve for x
    x = 97,735,015,876/145,192
  6. Step 6: Final answer
    x = 673,143.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.