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Finding the Third Proportional to 819,508 and 1,240,689

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Solution

The third proportional to 819,508 and 1,240,689 is: 1,878,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,508 : 1,240,689 = 1,240,689 : x
  2. Step 2: Convert to fraction form
    819,508/1,240,689 = 1,240,689/x
  3. Step 3: Cross multiply
    819,508x = 1,240,689 × 1,240,689
  4. Step 4: Simplify right side
    819,508x = 1,539,309,194,721
  5. Step 5: Solve for x
    x = 1,539,309,194,721/819,508
  6. Step 6: Final answer
    x = 1,878,333.34

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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.