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Finding the Third Proportional to 201,486 and 308,550

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Solution

The third proportional to 201,486 and 308,550 is: 472,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,486 : 308,550 = 308,550 : x
  2. Step 2: Convert to fraction form
    201,486/308,550 = 308,550/x
  3. Step 3: Cross multiply
    201,486x = 308,550 × 308,550
  4. Step 4: Simplify right side
    201,486x = 95,203,102,500
  5. Step 5: Solve for x
    x = 95,203,102,500/201,486
  6. Step 6: Final answer
    x = 472,504.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.