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Finding the Third Proportional to 143,816 and 313,584

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Solution

The third proportional to 143,816 and 313,584 is: 683,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,816 : 313,584 = 313,584 : x
  2. Step 2: Convert to fraction form
    143,816/313,584 = 313,584/x
  3. Step 3: Cross multiply
    143,816x = 313,584 × 313,584
  4. Step 4: Simplify right side
    143,816x = 98,334,925,056
  5. Step 5: Solve for x
    x = 98,334,925,056/143,816
  6. Step 6: Final answer
    x = 683,755.11

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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.