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Finding the Third Proportional to 400,094 and 619,311

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Solution

The third proportional to 400,094 and 619,311 is: 958,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,094 : 619,311 = 619,311 : x
  2. Step 2: Convert to fraction form
    400,094/619,311 = 619,311/x
  3. Step 3: Cross multiply
    400,094x = 619,311 × 619,311
  4. Step 4: Simplify right side
    400,094x = 383,546,114,721
  5. Step 5: Solve for x
    x = 383,546,114,721/400,094
  6. Step 6: Final answer
    x = 958,640.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.