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Finding the Third Proportional to 270,256 and 625,660

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Solution

The third proportional to 270,256 and 625,660 is: 1,448,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,256 : 625,660 = 625,660 : x
  2. Step 2: Convert to fraction form
    270,256/625,660 = 625,660/x
  3. Step 3: Cross multiply
    270,256x = 625,660 × 625,660
  4. Step 4: Simplify right side
    270,256x = 391,450,435,600
  5. Step 5: Solve for x
    x = 391,450,435,600/270,256
  6. Step 6: Final answer
    x = 1,448,443.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.