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Finding the Third Proportional to 144,183 and 314,367

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Solution

The third proportional to 144,183 and 314,367 is: 685,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,183 : 314,367 = 314,367 : x
  2. Step 2: Convert to fraction form
    144,183/314,367 = 314,367/x
  3. Step 3: Cross multiply
    144,183x = 314,367 × 314,367
  4. Step 4: Simplify right side
    144,183x = 98,826,610,689
  5. Step 5: Solve for x
    x = 98,826,610,689/144,183
  6. Step 6: Final answer
    x = 685,424.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.