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Finding the Third Proportional to 144,927 and 311,091

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Solution

The third proportional to 144,927 and 311,091 is: 667,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,927 : 311,091 = 311,091 : x
  2. Step 2: Convert to fraction form
    144,927/311,091 = 311,091/x
  3. Step 3: Cross multiply
    144,927x = 311,091 × 311,091
  4. Step 4: Simplify right side
    144,927x = 96,777,610,281
  5. Step 5: Solve for x
    x = 96,777,610,281/144,927
  6. Step 6: Final answer
    x = 667,767.98

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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.