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Finding the Third Proportional to 207,023 and 313,640

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Solution

The third proportional to 207,023 and 313,640 is: 475,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,023 : 313,640 = 313,640 : x
  2. Step 2: Convert to fraction form
    207,023/313,640 = 313,640/x
  3. Step 3: Cross multiply
    207,023x = 313,640 × 313,640
  4. Step 4: Simplify right side
    207,023x = 98,370,049,600
  5. Step 5: Solve for x
    x = 98,370,049,600/207,023
  6. Step 6: Final answer
    x = 475,164.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.