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Finding the Third Proportional to 400,656 and 619,546

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Solution

The third proportional to 400,656 and 619,546 is: 958,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,656 : 619,546 = 619,546 : x
  2. Step 2: Convert to fraction form
    400,656/619,546 = 619,546/x
  3. Step 3: Cross multiply
    400,656x = 619,546 × 619,546
  4. Step 4: Simplify right side
    400,656x = 383,837,246,116
  5. Step 5: Solve for x
    x = 383,837,246,116/400,656
  6. Step 6: Final answer
    x = 958,021.96

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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.