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Finding the Third Proportional to 280,348 and 419,360

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Solution

The third proportional to 280,348 and 419,360 is: 627,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,348 : 419,360 = 419,360 : x
  2. Step 2: Convert to fraction form
    280,348/419,360 = 419,360/x
  3. Step 3: Cross multiply
    280,348x = 419,360 × 419,360
  4. Step 4: Simplify right side
    280,348x = 175,862,809,600
  5. Step 5: Solve for x
    x = 175,862,809,600/280,348
  6. Step 6: Final answer
    x = 627,301.82

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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.