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Finding the Third Proportional to 511,380 and 766,746

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Solution

The third proportional to 511,380 and 766,746 is: 1,149,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,380 : 766,746 = 766,746 : x
  2. Step 2: Convert to fraction form
    511,380/766,746 = 766,746/x
  3. Step 3: Cross multiply
    511,380x = 766,746 × 766,746
  4. Step 4: Simplify right side
    511,380x = 587,899,428,516
  5. Step 5: Solve for x
    x = 587,899,428,516/511,380
  6. Step 6: Final answer
    x = 1,149,633.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.