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Finding the Third Proportional to 400,120 and 619,348

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Solution

The third proportional to 400,120 and 619,348 is: 958,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,120 : 619,348 = 619,348 : x
  2. Step 2: Convert to fraction form
    400,120/619,348 = 619,348/x
  3. Step 3: Cross multiply
    400,120x = 619,348 × 619,348
  4. Step 4: Simplify right side
    400,120x = 383,591,945,104
  5. Step 5: Solve for x
    x = 383,591,945,104/400,120
  6. Step 6: Final answer
    x = 958,692.26

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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.