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Finding the Third Proportional to 81,556.88 and 122,927.63

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Solution

The third proportional to 81,556.88 and 122,927.63 is: 185,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,556.88 : 122,927.63 = 122,927.63 : x
  2. Step 2: Convert to fraction form
    81,556.88/122,927.63 = 122,927.63/x
  3. Step 3: Cross multiply
    81,556.88x = 122,927.63 × 122,927.63
  4. Step 4: Simplify right side
    81,556.88x = 15,111,200,988.14
  5. Step 5: Solve for x
    x = 15,111,200,988.14/81,556.88
  6. Step 6: Final answer
    x = 185,284.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.