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Finding the Third Proportional to 276,199 and 426,509

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Solution

The third proportional to 276,199 and 426,509 is: 658,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,199 : 426,509 = 426,509 : x
  2. Step 2: Convert to fraction form
    276,199/426,509 = 426,509/x
  3. Step 3: Cross multiply
    276,199x = 426,509 × 426,509
  4. Step 4: Simplify right side
    276,199x = 181,909,927,081
  5. Step 5: Solve for x
    x = 181,909,927,081/276,199
  6. Step 6: Final answer
    x = 658,619.06

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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.