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Finding the Third Proportional to 254,380 and 402,738

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Solution

The third proportional to 254,380 and 402,738 is: 637,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,380 : 402,738 = 402,738 : x
  2. Step 2: Convert to fraction form
    254,380/402,738 = 402,738/x
  3. Step 3: Cross multiply
    254,380x = 402,738 × 402,738
  4. Step 4: Simplify right side
    254,380x = 162,197,896,644
  5. Step 5: Solve for x
    x = 162,197,896,644/254,380
  6. Step 6: Final answer
    x = 637,620.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.