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Finding the Third Proportional to 254,470 and 394,220

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Solution

The third proportional to 254,470 and 394,220 is: 610,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,470 : 394,220 = 394,220 : x
  2. Step 2: Convert to fraction form
    254,470/394,220 = 394,220/x
  3. Step 3: Cross multiply
    254,470x = 394,220 × 394,220
  4. Step 4: Simplify right side
    254,470x = 155,409,408,400
  5. Step 5: Solve for x
    x = 155,409,408,400/254,470
  6. Step 6: Final answer
    x = 610,718.00

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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.