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Finding the Third Proportional to 398,552 and 845,704

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Solution

The third proportional to 398,552 and 845,704 is: 1,794,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,552 : 845,704 = 845,704 : x
  2. Step 2: Convert to fraction form
    398,552/845,704 = 845,704/x
  3. Step 3: Cross multiply
    398,552x = 845,704 × 845,704
  4. Step 4: Simplify right side
    398,552x = 715,215,255,616
  5. Step 5: Solve for x
    x = 715,215,255,616/398,552
  6. Step 6: Final answer
    x = 1,794,534.35

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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.