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Finding the Third Proportional to 180,312 and 261,171

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Solution

The third proportional to 180,312 and 261,171 is: 378,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,312 : 261,171 = 261,171 : x
  2. Step 2: Convert to fraction form
    180,312/261,171 = 261,171/x
  3. Step 3: Cross multiply
    180,312x = 261,171 × 261,171
  4. Step 4: Simplify right side
    180,312x = 68,210,291,241
  5. Step 5: Solve for x
    x = 68,210,291,241/180,312
  6. Step 6: Final answer
    x = 378,290.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.