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Finding the Third Proportional to 40,862 and 85,855

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Solution

The third proportional to 40,862 and 85,855 is: 180,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,862 : 85,855 = 85,855 : x
  2. Step 2: Convert to fraction form
    40,862/85,855 = 85,855/x
  3. Step 3: Cross multiply
    40,862x = 85,855 × 85,855
  4. Step 4: Simplify right side
    40,862x = 7,371,081,025
  5. Step 5: Solve for x
    x = 7,371,081,025/40,862
  6. Step 6: Final answer
    x = 180,389.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.