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Finding the Third Proportional to 144,268 and 315,085

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Solution

The third proportional to 144,268 and 315,085 is: 688,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,268 : 315,085 = 315,085 : x
  2. Step 2: Convert to fraction form
    144,268/315,085 = 315,085/x
  3. Step 3: Cross multiply
    144,268x = 315,085 × 315,085
  4. Step 4: Simplify right side
    144,268x = 99,278,557,225
  5. Step 5: Solve for x
    x = 99,278,557,225/144,268
  6. Step 6: Final answer
    x = 688,153.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.