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Finding the Third Proportional to 598,351 and 1,280,780

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Solution

The third proportional to 598,351 and 1,280,780 is: 2,741,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,351 : 1,280,780 = 1,280,780 : x
  2. Step 2: Convert to fraction form
    598,351/1,280,780 = 1,280,780/x
  3. Step 3: Cross multiply
    598,351x = 1,280,780 × 1,280,780
  4. Step 4: Simplify right side
    598,351x = 1,640,397,408,400
  5. Step 5: Solve for x
    x = 1,640,397,408,400/598,351
  6. Step 6: Final answer
    x = 2,741,530.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.