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Finding the Third Proportional to 144,630 and 313,863

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Solution

The third proportional to 144,630 and 313,863 is: 681,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,630 : 313,863 = 313,863 : x
  2. Step 2: Convert to fraction form
    144,630/313,863 = 313,863/x
  3. Step 3: Cross multiply
    144,630x = 313,863 × 313,863
  4. Step 4: Simplify right side
    144,630x = 98,509,982,769
  5. Step 5: Solve for x
    x = 98,509,982,769/144,630
  6. Step 6: Final answer
    x = 681,117.21

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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.