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Finding the Third Proportional to 146,260 and 313,240

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Solution

The third proportional to 146,260 and 313,240 is: 670,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,260 : 313,240 = 313,240 : x
  2. Step 2: Convert to fraction form
    146,260/313,240 = 313,240/x
  3. Step 3: Cross multiply
    146,260x = 313,240 × 313,240
  4. Step 4: Simplify right side
    146,260x = 98,119,297,600
  5. Step 5: Solve for x
    x = 98,119,297,600/146,260
  6. Step 6: Final answer
    x = 670,855.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.