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Finding the Third Proportional to 295,869 and 480,690

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Solution

The third proportional to 295,869 and 480,690 is: 780,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,869 : 480,690 = 480,690 : x
  2. Step 2: Convert to fraction form
    295,869/480,690 = 480,690/x
  3. Step 3: Cross multiply
    295,869x = 480,690 × 480,690
  4. Step 4: Simplify right side
    295,869x = 231,062,876,100
  5. Step 5: Solve for x
    x = 231,062,876,100/295,869
  6. Step 6: Final answer
    x = 780,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.