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Finding the Third Proportional to 35,912 and 78,512

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Solution

The third proportional to 35,912 and 78,512 is: 171,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,912 : 78,512 = 78,512 : x
  2. Step 2: Convert to fraction form
    35,912/78,512 = 78,512/x
  3. Step 3: Cross multiply
    35,912x = 78,512 × 78,512
  4. Step 4: Simplify right side
    35,912x = 6,164,134,144
  5. Step 5: Solve for x
    x = 6,164,134,144/35,912
  6. Step 6: Final answer
    x = 171,645.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.