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Finding the Third Proportional to 512,991 and 766,617

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Solution

The third proportional to 512,991 and 766,617 is: 1,145,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,991 : 766,617 = 766,617 : x
  2. Step 2: Convert to fraction form
    512,991/766,617 = 766,617/x
  3. Step 3: Cross multiply
    512,991x = 766,617 × 766,617
  4. Step 4: Simplify right side
    512,991x = 587,701,624,689
  5. Step 5: Solve for x
    x = 587,701,624,689/512,991
  6. Step 6: Final answer
    x = 1,145,637.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.