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Finding the Third Proportional to 348,752 and 491,112

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Solution

The third proportional to 348,752 and 491,112 is: 691,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,752 : 491,112 = 491,112 : x
  2. Step 2: Convert to fraction form
    348,752/491,112 = 491,112/x
  3. Step 3: Cross multiply
    348,752x = 491,112 × 491,112
  4. Step 4: Simplify right side
    348,752x = 241,190,996,544
  5. Step 5: Solve for x
    x = 241,190,996,544/348,752
  6. Step 6: Final answer
    x = 691,583.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.