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Finding the Third Proportional to 37,411 and 81,862

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Solution

The third proportional to 37,411 and 81,862 is: 179,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411 : 81,862 = 81,862 : x
  2. Step 2: Convert to fraction form
    37,411/81,862 = 81,862/x
  3. Step 3: Cross multiply
    37,411x = 81,862 × 81,862
  4. Step 4: Simplify right side
    37,411x = 6,701,387,044
  5. Step 5: Solve for x
    x = 6,701,387,044/37,411
  6. Step 6: Final answer
    x = 179,128.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.