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Finding the Third Proportional to 81,123 and 121,011

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Solution

The third proportional to 81,123 and 121,011 is: 180,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,123 : 121,011 = 121,011 : x
  2. Step 2: Convert to fraction form
    81,123/121,011 = 121,011/x
  3. Step 3: Cross multiply
    81,123x = 121,011 × 121,011
  4. Step 4: Simplify right side
    81,123x = 14,643,662,121
  5. Step 5: Solve for x
    x = 14,643,662,121/81,123
  6. Step 6: Final answer
    x = 180,511.84

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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.