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Finding the Third Proportional to 145,173 and 216,198

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Solution

The third proportional to 145,173 and 216,198 is: 321,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,173 : 216,198 = 216,198 : x
  2. Step 2: Convert to fraction form
    145,173/216,198 = 216,198/x
  3. Step 3: Cross multiply
    145,173x = 216,198 × 216,198
  4. Step 4: Simplify right side
    145,173x = 46,741,575,204
  5. Step 5: Solve for x
    x = 46,741,575,204/145,173
  6. Step 6: Final answer
    x = 321,971.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.