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Finding the Third Proportional to 18,362 and 39,640

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Solution

The third proportional to 18,362 and 39,640 is: 85,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,362 : 39,640 = 39,640 : x
  2. Step 2: Convert to fraction form
    18,362/39,640 = 39,640/x
  3. Step 3: Cross multiply
    18,362x = 39,640 × 39,640
  4. Step 4: Simplify right side
    18,362x = 1,571,329,600
  5. Step 5: Solve for x
    x = 1,571,329,600/18,362
  6. Step 6: Final answer
    x = 85,575.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.