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Finding the Third Proportional to 136,378 and 289,994

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Solution

The third proportional to 136,378 and 289,994 is: 616,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,378 : 289,994 = 289,994 : x
  2. Step 2: Convert to fraction form
    136,378/289,994 = 289,994/x
  3. Step 3: Cross multiply
    136,378x = 289,994 × 289,994
  4. Step 4: Simplify right side
    136,378x = 84,096,520,036
  5. Step 5: Solve for x
    x = 84,096,520,036/136,378
  6. Step 6: Final answer
    x = 616,642.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.