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Finding the Third Proportional to 77,362 and 104,378

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Solution

The third proportional to 77,362 and 104,378 is: 140,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,362 : 104,378 = 104,378 : x
  2. Step 2: Convert to fraction form
    77,362/104,378 = 104,378/x
  3. Step 3: Cross multiply
    77,362x = 104,378 × 104,378
  4. Step 4: Simplify right side
    77,362x = 10,894,766,884
  5. Step 5: Solve for x
    x = 10,894,766,884/77,362
  6. Step 6: Final answer
    x = 140,828.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.