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Finding the Third Proportional to 207,224 and 312,456

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Solution

The third proportional to 207,224 and 312,456 is: 471,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,224 : 312,456 = 312,456 : x
  2. Step 2: Convert to fraction form
    207,224/312,456 = 312,456/x
  3. Step 3: Cross multiply
    207,224x = 312,456 × 312,456
  4. Step 4: Simplify right side
    207,224x = 97,628,751,936
  5. Step 5: Solve for x
    x = 97,628,751,936/207,224
  6. Step 6: Final answer
    x = 471,126.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.