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Finding the Third Proportional to 144,040 and 313,910

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Solution

The third proportional to 144,040 and 313,910 is: 684,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,040 : 313,910 = 313,910 : x
  2. Step 2: Convert to fraction form
    144,040/313,910 = 313,910/x
  3. Step 3: Cross multiply
    144,040x = 313,910 × 313,910
  4. Step 4: Simplify right side
    144,040x = 98,539,488,100
  5. Step 5: Solve for x
    x = 98,539,488,100/144,040
  6. Step 6: Final answer
    x = 684,111.97

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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.