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Finding the Third Proportional to 34,754 and 76,420

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Solution

The third proportional to 34,754 and 76,420 is: 168,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,754 : 76,420 = 76,420 : x
  2. Step 2: Convert to fraction form
    34,754/76,420 = 76,420/x
  3. Step 3: Cross multiply
    34,754x = 76,420 × 76,420
  4. Step 4: Simplify right side
    34,754x = 5,840,016,400
  5. Step 5: Solve for x
    x = 5,840,016,400/34,754
  6. Step 6: Final answer
    x = 168,038.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.