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Finding the Third Proportional to 380,738 and 901,989

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Solution

The third proportional to 380,738 and 901,989 is: 2,136,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,738 : 901,989 = 901,989 : x
  2. Step 2: Convert to fraction form
    380,738/901,989 = 901,989/x
  3. Step 3: Cross multiply
    380,738x = 901,989 × 901,989
  4. Step 4: Simplify right side
    380,738x = 813,584,156,121
  5. Step 5: Solve for x
    x = 813,584,156,121/380,738
  6. Step 6: Final answer
    x = 2,136,860.93

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.