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Finding the Third Proportional to 35,678 and 51,420

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Solution

The third proportional to 35,678 and 51,420 is: 74,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678 : 51,420 = 51,420 : x
  2. Step 2: Convert to fraction form
    35,678/51,420 = 51,420/x
  3. Step 3: Cross multiply
    35,678x = 51,420 × 51,420
  4. Step 4: Simplify right side
    35,678x = 2,644,016,400
  5. Step 5: Solve for x
    x = 2,644,016,400/35,678
  6. Step 6: Final answer
    x = 74,107.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.