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Finding the Third Proportional to 185,195.50 and 405,780

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Solution

The third proportional to 185,195.50 and 405,780 is: 889,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,195.50 : 405,780 = 405,780 : x
  2. Step 2: Convert to fraction form
    185,195.50/405,780 = 405,780/x
  3. Step 3: Cross multiply
    185,195.50x = 405,780 × 405,780
  4. Step 4: Simplify right side
    185,195.50x = 164,657,408,400
  5. Step 5: Solve for x
    x = 164,657,408,400/185,195.50
  6. Step 6: Final answer
    x = 889,100.48

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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.