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Finding the Third Proportional to 276,341 and 426,719

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Solution

The third proportional to 276,341 and 426,719 is: 658,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,341 : 426,719 = 426,719 : x
  2. Step 2: Convert to fraction form
    276,341/426,719 = 426,719/x
  3. Step 3: Cross multiply
    276,341x = 426,719 × 426,719
  4. Step 4: Simplify right side
    276,341x = 182,089,104,961
  5. Step 5: Solve for x
    x = 182,089,104,961/276,341
  6. Step 6: Final answer
    x = 658,929.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.