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Finding the Third Proportional to 117,912 and 180,312

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Solution

The third proportional to 117,912 and 180,312 is: 275,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,912 : 180,312 = 180,312 : x
  2. Step 2: Convert to fraction form
    117,912/180,312 = 180,312/x
  3. Step 3: Cross multiply
    117,912x = 180,312 × 180,312
  4. Step 4: Simplify right side
    117,912x = 32,512,417,344
  5. Step 5: Solve for x
    x = 32,512,417,344/117,912
  6. Step 6: Final answer
    x = 275,734.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.