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Finding the Third Proportional to 157,879 and 338,276

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Solution

The third proportional to 157,879 and 338,276 is: 724,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,879 : 338,276 = 338,276 : x
  2. Step 2: Convert to fraction form
    157,879/338,276 = 338,276/x
  3. Step 3: Cross multiply
    157,879x = 338,276 × 338,276
  4. Step 4: Simplify right side
    157,879x = 114,430,652,176
  5. Step 5: Solve for x
    x = 114,430,652,176/157,879
  6. Step 6: Final answer
    x = 724,799.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.