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Finding the Third Proportional to 157,858 and 330,308

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Solution

The third proportional to 157,858 and 330,308 is: 691,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,858 : 330,308 = 330,308 : x
  2. Step 2: Convert to fraction form
    157,858/330,308 = 330,308/x
  3. Step 3: Cross multiply
    157,858x = 330,308 × 330,308
  4. Step 4: Simplify right side
    157,858x = 109,103,374,864
  5. Step 5: Solve for x
    x = 109,103,374,864/157,858
  6. Step 6: Final answer
    x = 691,148.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.