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Finding the Third Proportional to 577,909 and 766,821

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Solution

The third proportional to 577,909 and 766,821 is: 1,017,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,909 : 766,821 = 766,821 : x
  2. Step 2: Convert to fraction form
    577,909/766,821 = 766,821/x
  3. Step 3: Cross multiply
    577,909x = 766,821 × 766,821
  4. Step 4: Simplify right side
    577,909x = 588,014,446,041
  5. Step 5: Solve for x
    x = 588,014,446,041/577,909
  6. Step 6: Final answer
    x = 1,017,486.22

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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.