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Finding the Third Proportional to 577,900 and 766,807

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Solution

The third proportional to 577,900 and 766,807 is: 1,017,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,900 : 766,807 = 766,807 : x
  2. Step 2: Convert to fraction form
    577,900/766,807 = 766,807/x
  3. Step 3: Cross multiply
    577,900x = 766,807 × 766,807
  4. Step 4: Simplify right side
    577,900x = 587,992,975,249
  5. Step 5: Solve for x
    x = 587,992,975,249/577,900
  6. Step 6: Final answer
    x = 1,017,464.92

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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.