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Finding the Third Proportional to 201,824 and 312,288

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Solution

The third proportional to 201,824 and 312,288 is: 483,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,824 : 312,288 = 312,288 : x
  2. Step 2: Convert to fraction form
    201,824/312,288 = 312,288/x
  3. Step 3: Cross multiply
    201,824x = 312,288 × 312,288
  4. Step 4: Simplify right side
    201,824x = 97,523,794,944
  5. Step 5: Solve for x
    x = 97,523,794,944/201,824
  6. Step 6: Final answer
    x = 483,212.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.