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Finding the Third Proportional to 34,378 and 75,020

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Solution

The third proportional to 34,378 and 75,020 is: 163,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378 : 75,020 = 75,020 : x
  2. Step 2: Convert to fraction form
    34,378/75,020 = 75,020/x
  3. Step 3: Cross multiply
    34,378x = 75,020 × 75,020
  4. Step 4: Simplify right side
    34,378x = 5,628,000,400
  5. Step 5: Solve for x
    x = 5,628,000,400/34,378
  6. Step 6: Final answer
    x = 163,709.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.