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Finding the Third Proportional to 143,841 and 313,929

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Solution

The third proportional to 143,841 and 313,929 is: 685,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,841 : 313,929 = 313,929 : x
  2. Step 2: Convert to fraction form
    143,841/313,929 = 313,929/x
  3. Step 3: Cross multiply
    143,841x = 313,929 × 313,929
  4. Step 4: Simplify right side
    143,841x = 98,551,417,041
  5. Step 5: Solve for x
    x = 98,551,417,041/143,841
  6. Step 6: Final answer
    x = 685,141.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.