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Finding the Third Proportional to 19,078 and 40,334

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Solution

The third proportional to 19,078 and 40,334 is: 85,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,078 : 40,334 = 40,334 : x
  2. Step 2: Convert to fraction form
    19,078/40,334 = 40,334/x
  3. Step 3: Cross multiply
    19,078x = 40,334 × 40,334
  4. Step 4: Simplify right side
    19,078x = 1,626,831,556
  5. Step 5: Solve for x
    x = 1,626,831,556/19,078
  6. Step 6: Final answer
    x = 85,272.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.