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Finding the Third Proportional to 81,860.63 and 180,927

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Solution

The third proportional to 81,860.63 and 180,927 is: 399,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,860.63 : 180,927 = 180,927 : x
  2. Step 2: Convert to fraction form
    81,860.63/180,927 = 180,927/x
  3. Step 3: Cross multiply
    81,860.63x = 180,927 × 180,927
  4. Step 4: Simplify right side
    81,860.63x = 32,734,579,329
  5. Step 5: Solve for x
    x = 32,734,579,329/81,860.63
  6. Step 6: Final answer
    x = 399,881.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.