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Finding the Third Proportional to 145,956 and 313,740

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Solution

The third proportional to 145,956 and 313,740 is: 674,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,956 : 313,740 = 313,740 : x
  2. Step 2: Convert to fraction form
    145,956/313,740 = 313,740/x
  3. Step 3: Cross multiply
    145,956x = 313,740 × 313,740
  4. Step 4: Simplify right side
    145,956x = 98,432,787,600
  5. Step 5: Solve for x
    x = 98,432,787,600/145,956
  6. Step 6: Final answer
    x = 674,400.42

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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.