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Finding the Third Proportional to 40,490 and 85,381

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Solution

The third proportional to 40,490 and 85,381 is: 180,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,490 : 85,381 = 85,381 : x
  2. Step 2: Convert to fraction form
    40,490/85,381 = 85,381/x
  3. Step 3: Cross multiply
    40,490x = 85,381 × 85,381
  4. Step 4: Simplify right side
    40,490x = 7,289,915,161
  5. Step 5: Solve for x
    x = 7,289,915,161/40,490
  6. Step 6: Final answer
    x = 180,042.36

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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.