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Finding the Third Proportional to 144,584 and 313,306

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Solution

The third proportional to 144,584 and 313,306 is: 678,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,584 : 313,306 = 313,306 : x
  2. Step 2: Convert to fraction form
    144,584/313,306 = 313,306/x
  3. Step 3: Cross multiply
    144,584x = 313,306 × 313,306
  4. Step 4: Simplify right side
    144,584x = 98,160,649,636
  5. Step 5: Solve for x
    x = 98,160,649,636/144,584
  6. Step 6: Final answer
    x = 678,917.79

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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.