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Finding the Third Proportional to 144,654 and 311,514

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Solution

The third proportional to 144,654 and 311,514 is: 670,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,654 : 311,514 = 311,514 : x
  2. Step 2: Convert to fraction form
    144,654/311,514 = 311,514/x
  3. Step 3: Cross multiply
    144,654x = 311,514 × 311,514
  4. Step 4: Simplify right side
    144,654x = 97,040,972,196
  5. Step 5: Solve for x
    x = 97,040,972,196/144,654
  6. Step 6: Final answer
    x = 670,848.87

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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.