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Finding the Third Proportional to 143,278 and 312,435

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Solution

The third proportional to 143,278 and 312,435 is: 681,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,278 : 312,435 = 312,435 : x
  2. Step 2: Convert to fraction form
    143,278/312,435 = 312,435/x
  3. Step 3: Cross multiply
    143,278x = 312,435 × 312,435
  4. Step 4: Simplify right side
    143,278x = 97,615,629,225
  5. Step 5: Solve for x
    x = 97,615,629,225/143,278
  6. Step 6: Final answer
    x = 681,302.29

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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.