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Finding the Third Proportional to 81,124.88 and 121,012.31

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Solution

The third proportional to 81,124.88 and 121,012.31 is: 180,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,124.88 : 121,012.31 = 121,012.31 : x
  2. Step 2: Convert to fraction form
    81,124.88/121,012.31 = 121,012.31/x
  3. Step 3: Cross multiply
    81,124.88x = 121,012.31 × 121,012.31
  4. Step 4: Simplify right side
    81,124.88x = 14,643,979,776.60
  5. Step 5: Solve for x
    x = 14,643,979,776.60/81,124.88
  6. Step 6: Final answer
    x = 180,511.59

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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.