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Finding the Third Proportional to 398,544 and 845,688

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Solution

The third proportional to 398,544 and 845,688 is: 1,794,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,544 : 845,688 = 845,688 : x
  2. Step 2: Convert to fraction form
    398,544/845,688 = 845,688/x
  3. Step 3: Cross multiply
    398,544x = 845,688 × 845,688
  4. Step 4: Simplify right side
    398,544x = 715,188,193,344
  5. Step 5: Solve for x
    x = 715,188,193,344/398,544
  6. Step 6: Final answer
    x = 1,794,502.47

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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.