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Finding the Third Proportional to 403,820 and 622,580

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Solution

The third proportional to 403,820 and 622,580 is: 959,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,820 : 622,580 = 622,580 : x
  2. Step 2: Convert to fraction form
    403,820/622,580 = 622,580/x
  3. Step 3: Cross multiply
    403,820x = 622,580 × 622,580
  4. Step 4: Simplify right side
    403,820x = 387,605,856,400
  5. Step 5: Solve for x
    x = 387,605,856,400/403,820
  6. Step 6: Final answer
    x = 959,848.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.