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Finding the Third Proportional to 144,942 and 311,310

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Solution

The third proportional to 144,942 and 311,310 is: 668,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,942 : 311,310 = 311,310 : x
  2. Step 2: Convert to fraction form
    144,942/311,310 = 311,310/x
  3. Step 3: Cross multiply
    144,942x = 311,310 × 311,310
  4. Step 4: Simplify right side
    144,942x = 96,913,916,100
  5. Step 5: Solve for x
    x = 96,913,916,100/144,942
  6. Step 6: Final answer
    x = 668,639.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.