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Finding the Third Proportional to 606,256 and 905,640

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Solution

The third proportional to 606,256 and 905,640 is: 1,352,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,256 : 905,640 = 905,640 : x
  2. Step 2: Convert to fraction form
    606,256/905,640 = 905,640/x
  3. Step 3: Cross multiply
    606,256x = 905,640 × 905,640
  4. Step 4: Simplify right side
    606,256x = 820,183,809,600
  5. Step 5: Solve for x
    x = 820,183,809,600/606,256
  6. Step 6: Final answer
    x = 1,352,867.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.