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Finding the Third Proportional to 145,626 and 308,874

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Solution

The third proportional to 145,626 and 308,874 is: 655,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,626 : 308,874 = 308,874 : x
  2. Step 2: Convert to fraction form
    145,626/308,874 = 308,874/x
  3. Step 3: Cross multiply
    145,626x = 308,874 × 308,874
  4. Step 4: Simplify right side
    145,626x = 95,403,147,876
  5. Step 5: Solve for x
    x = 95,403,147,876/145,626
  6. Step 6: Final answer
    x = 655,124.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.