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Finding the Third Proportional to 115,197 and 180,321

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Solution

The third proportional to 115,197 and 180,321 is: 282,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,197 : 180,321 = 180,321 : x
  2. Step 2: Convert to fraction form
    115,197/180,321 = 180,321/x
  3. Step 3: Cross multiply
    115,197x = 180,321 × 180,321
  4. Step 4: Simplify right side
    115,197x = 32,515,663,041
  5. Step 5: Solve for x
    x = 32,515,663,041/115,197
  6. Step 6: Final answer
    x = 282,261.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.