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Finding the Third Proportional to 144,811 and 311,416

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Solution

The third proportional to 144,811 and 311,416 is: 669,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,811 : 311,416 = 311,416 : x
  2. Step 2: Convert to fraction form
    144,811/311,416 = 311,416/x
  3. Step 3: Cross multiply
    144,811x = 311,416 × 311,416
  4. Step 4: Simplify right side
    144,811x = 96,979,925,056
  5. Step 5: Solve for x
    x = 96,979,925,056/144,811
  6. Step 6: Final answer
    x = 669,699.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.