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Finding the Third Proportional to 254,512.13 and 378,077.63

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Solution

The third proportional to 254,512.13 and 378,077.63 is: 561,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,512.13 : 378,077.63 = 378,077.63 : x
  2. Step 2: Convert to fraction form
    254,512.13/378,077.63 = 378,077.63/x
  3. Step 3: Cross multiply
    254,512.13x = 378,077.63 × 378,077.63
  4. Step 4: Simplify right side
    254,512.13x = 142,942,690,525.64
  5. Step 5: Solve for x
    x = 142,942,690,525.64/254,512.13
  6. Step 6: Final answer
    x = 561,634.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.