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Finding the Third Proportional to 143,273 and 312,790

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Solution

The third proportional to 143,273 and 312,790 is: 682,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,273 : 312,790 = 312,790 : x
  2. Step 2: Convert to fraction form
    143,273/312,790 = 312,790/x
  3. Step 3: Cross multiply
    143,273x = 312,790 × 312,790
  4. Step 4: Simplify right side
    143,273x = 97,837,584,100
  5. Step 5: Solve for x
    x = 97,837,584,100/143,273
  6. Step 6: Final answer
    x = 682,875.24

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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.