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Finding the Third Proportional to 577,911 and 766,827

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Solution

The third proportional to 577,911 and 766,827 is: 1,017,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,911 : 766,827 = 766,827 : x
  2. Step 2: Convert to fraction form
    577,911/766,827 = 766,827/x
  3. Step 3: Cross multiply
    577,911x = 766,827 × 766,827
  4. Step 4: Simplify right side
    577,911x = 588,023,647,929
  5. Step 5: Solve for x
    x = 588,023,647,929/577,911
  6. Step 6: Final answer
    x = 1,017,498.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.