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Finding the Third Proportional to 276,470 and 426,891

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Solution

The third proportional to 276,470 and 426,891 is: 659,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,470 : 426,891 = 426,891 : x
  2. Step 2: Convert to fraction form
    276,470/426,891 = 426,891/x
  3. Step 3: Cross multiply
    276,470x = 426,891 × 426,891
  4. Step 4: Simplify right side
    276,470x = 182,235,925,881
  5. Step 5: Solve for x
    x = 182,235,925,881/276,470
  6. Step 6: Final answer
    x = 659,152.62

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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.