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Finding the Third Proportional to 819,531 and 1,240,722

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Solution

The third proportional to 819,531 and 1,240,722 is: 1,878,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,531 : 1,240,722 = 1,240,722 : x
  2. Step 2: Convert to fraction form
    819,531/1,240,722 = 1,240,722/x
  3. Step 3: Cross multiply
    819,531x = 1,240,722 × 1,240,722
  4. Step 4: Simplify right side
    819,531x = 1,539,391,081,284
  5. Step 5: Solve for x
    x = 1,539,391,081,284/819,531
  6. Step 6: Final answer
    x = 1,878,380.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.