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Finding the Third Proportional to 144,606 and 313,346

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Solution

The third proportional to 144,606 and 313,346 is: 678,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,606 : 313,346 = 313,346 : x
  2. Step 2: Convert to fraction form
    144,606/313,346 = 313,346/x
  3. Step 3: Cross multiply
    144,606x = 313,346 × 313,346
  4. Step 4: Simplify right side
    144,606x = 98,185,715,716
  5. Step 5: Solve for x
    x = 98,185,715,716/144,606
  6. Step 6: Final answer
    x = 678,987.84

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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.