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Finding the Third Proportional to 144,994 and 318,356

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Solution

The third proportional to 144,994 and 318,356 is: 698,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,994 : 318,356 = 318,356 : x
  2. Step 2: Convert to fraction form
    144,994/318,356 = 318,356/x
  3. Step 3: Cross multiply
    144,994x = 318,356 × 318,356
  4. Step 4: Simplify right side
    144,994x = 101,350,542,736
  5. Step 5: Solve for x
    x = 101,350,542,736/144,994
  6. Step 6: Final answer
    x = 698,998.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.