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Finding the Third Proportional to 577,728 and 892,816

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Solution

The third proportional to 577,728 and 892,816 is: 1,379,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,728 : 892,816 = 892,816 : x
  2. Step 2: Convert to fraction form
    577,728/892,816 = 892,816/x
  3. Step 3: Cross multiply
    577,728x = 892,816 × 892,816
  4. Step 4: Simplify right side
    577,728x = 797,120,409,856
  5. Step 5: Solve for x
    x = 797,120,409,856/577,728
  6. Step 6: Final answer
    x = 1,379,750.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.