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Finding the Third Proportional to 400,122 and 619,350

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Solution

The third proportional to 400,122 and 619,350 is: 958,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,122 : 619,350 = 619,350 : x
  2. Step 2: Convert to fraction form
    400,122/619,350 = 619,350/x
  3. Step 3: Cross multiply
    400,122x = 619,350 × 619,350
  4. Step 4: Simplify right side
    400,122x = 383,594,422,500
  5. Step 5: Solve for x
    x = 383,594,422,500/400,122
  6. Step 6: Final answer
    x = 958,693.65

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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.