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Finding the Third Proportional to 254,256 and 542,280

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Solution

The third proportional to 254,256 and 542,280 is: 1,156,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,256 : 542,280 = 542,280 : x
  2. Step 2: Convert to fraction form
    254,256/542,280 = 542,280/x
  3. Step 3: Cross multiply
    254,256x = 542,280 × 542,280
  4. Step 4: Simplify right side
    254,256x = 294,067,598,400
  5. Step 5: Solve for x
    x = 294,067,598,400/254,256
  6. Step 6: Final answer
    x = 1,156,580.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.