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Finding the Third Proportional to 554,885 and 840,378

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Solution

The third proportional to 554,885 and 840,378 is: 1,272,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,885 : 840,378 = 840,378 : x
  2. Step 2: Convert to fraction form
    554,885/840,378 = 840,378/x
  3. Step 3: Cross multiply
    554,885x = 840,378 × 840,378
  4. Step 4: Simplify right side
    554,885x = 706,235,182,884
  5. Step 5: Solve for x
    x = 706,235,182,884/554,885
  6. Step 6: Final answer
    x = 1,272,759.55

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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.