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Finding the Third Proportional to 577,909 and 766,823

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Solution

The third proportional to 577,909 and 766,823 is: 1,017,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,909 : 766,823 = 766,823 : x
  2. Step 2: Convert to fraction form
    577,909/766,823 = 766,823/x
  3. Step 3: Cross multiply
    577,909x = 766,823 × 766,823
  4. Step 4: Simplify right side
    577,909x = 588,017,513,329
  5. Step 5: Solve for x
    x = 588,017,513,329/577,909
  6. Step 6: Final answer
    x = 1,017,491.53

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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.