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Finding the Third Proportional to 81,556.88 and 121,952.25

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Solution

The third proportional to 81,556.88 and 121,952.25 is: 182,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,556.88 : 121,952.25 = 121,952.25 : x
  2. Step 2: Convert to fraction form
    81,556.88/121,952.25 = 121,952.25/x
  3. Step 3: Cross multiply
    81,556.88x = 121,952.25 × 121,952.25
  4. Step 4: Simplify right side
    81,556.88x = 14,872,351,280.06
  5. Step 5: Solve for x
    x = 14,872,351,280.06/81,556.88
  6. Step 6: Final answer
    x = 182,355.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.