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Finding the Third Proportional to 400,448 and 619,842

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Solution

The third proportional to 400,448 and 619,842 is: 959,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,448 : 619,842 = 619,842 : x
  2. Step 2: Convert to fraction form
    400,448/619,842 = 619,842/x
  3. Step 3: Cross multiply
    400,448x = 619,842 × 619,842
  4. Step 4: Simplify right side
    400,448x = 384,204,104,964
  5. Step 5: Solve for x
    x = 384,204,104,964/400,448
  6. Step 6: Final answer
    x = 959,435.69

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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.