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Finding the Third Proportional to 75,378 and 102,371

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Solution

The third proportional to 75,378 and 102,371 is: 139,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,378 : 102,371 = 102,371 : x
  2. Step 2: Convert to fraction form
    75,378/102,371 = 102,371/x
  3. Step 3: Cross multiply
    75,378x = 102,371 × 102,371
  4. Step 4: Simplify right side
    75,378x = 10,479,821,641
  5. Step 5: Solve for x
    x = 10,479,821,641/75,378
  6. Step 6: Final answer
    x = 139,030.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.