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Finding the Third Proportional to 398,554 and 845,708

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Solution

The third proportional to 398,554 and 845,708 is: 1,794,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,554 : 845,708 = 845,708 : x
  2. Step 2: Convert to fraction form
    398,554/845,708 = 845,708/x
  3. Step 3: Cross multiply
    398,554x = 845,708 × 845,708
  4. Step 4: Simplify right side
    398,554x = 715,222,021,264
  5. Step 5: Solve for x
    x = 715,222,021,264/398,554
  6. Step 6: Final answer
    x = 1,794,542.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.