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Finding the Third Proportional to 144,153 and 309,619

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Solution

The third proportional to 144,153 and 309,619 is: 665,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,153 : 309,619 = 309,619 : x
  2. Step 2: Convert to fraction form
    144,153/309,619 = 309,619/x
  3. Step 3: Cross multiply
    144,153x = 309,619 × 309,619
  4. Step 4: Simplify right side
    144,153x = 95,863,925,161
  5. Step 5: Solve for x
    x = 95,863,925,161/144,153
  6. Step 6: Final answer
    x = 665,015.12

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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.