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Finding the Third Proportional to 144,291 and 313,225

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Solution

The third proportional to 144,291 and 313,225 is: 679,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,291 : 313,225 = 313,225 : x
  2. Step 2: Convert to fraction form
    144,291/313,225 = 313,225/x
  3. Step 3: Cross multiply
    144,291x = 313,225 × 313,225
  4. Step 4: Simplify right side
    144,291x = 98,109,900,625
  5. Step 5: Solve for x
    x = 98,109,900,625/144,291
  6. Step 6: Final answer
    x = 679,944.70

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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.