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Finding the Third Proportional to 254,508 and 402,936

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Solution

The third proportional to 254,508 and 402,936 is: 637,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,508 : 402,936 = 402,936 : x
  2. Step 2: Convert to fraction form
    254,508/402,936 = 402,936/x
  3. Step 3: Cross multiply
    254,508x = 402,936 × 402,936
  4. Step 4: Simplify right side
    254,508x = 162,357,420,096
  5. Step 5: Solve for x
    x = 162,357,420,096/254,508
  6. Step 6: Final answer
    x = 637,926.59

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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.