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Finding the Third Proportional to 144,648 and 313,353

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Solution

The third proportional to 144,648 and 313,353 is: 678,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,648 : 313,353 = 313,353 : x
  2. Step 2: Convert to fraction form
    144,648/313,353 = 313,353/x
  3. Step 3: Cross multiply
    144,648x = 313,353 × 313,353
  4. Step 4: Simplify right side
    144,648x = 98,190,102,609
  5. Step 5: Solve for x
    x = 98,190,102,609/144,648
  6. Step 6: Final answer
    x = 678,821.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.