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Finding the Third Proportional to 157,081 and 343,483

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Solution

The third proportional to 157,081 and 343,483 is: 751,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,081 : 343,483 = 343,483 : x
  2. Step 2: Convert to fraction form
    157,081/343,483 = 343,483/x
  3. Step 3: Cross multiply
    157,081x = 343,483 × 343,483
  4. Step 4: Simplify right side
    157,081x = 117,980,571,289
  5. Step 5: Solve for x
    x = 117,980,571,289/157,081
  6. Step 6: Final answer
    x = 751,081.11

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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.