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Finding the Third Proportional to 157,948 and 349,112

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Solution

The third proportional to 157,948 and 349,112 is: 771,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,948 : 349,112 = 349,112 : x
  2. Step 2: Convert to fraction form
    157,948/349,112 = 349,112/x
  3. Step 3: Cross multiply
    157,948x = 349,112 × 349,112
  4. Step 4: Simplify right side
    157,948x = 121,879,188,544
  5. Step 5: Solve for x
    x = 121,879,188,544/157,948
  6. Step 6: Final answer
    x = 771,641.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.