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Finding the Third Proportional to 81,391.50 and 121,675.50

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Solution

The third proportional to 81,391.50 and 121,675.50 is: 181,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,391.50 : 121,675.50 = 121,675.50 : x
  2. Step 2: Convert to fraction form
    81,391.50/121,675.50 = 121,675.50/x
  3. Step 3: Cross multiply
    81,391.50x = 121,675.50 × 121,675.50
  4. Step 4: Simplify right side
    81,391.50x = 14,804,927,300.25
  5. Step 5: Solve for x
    x = 14,804,927,300.25/81,391.50
  6. Step 6: Final answer
    x = 181,897.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.