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Finding the Third Proportional to 276,816 and 363,478

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Solution

The third proportional to 276,816 and 363,478 is: 477,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,816 : 363,478 = 363,478 : x
  2. Step 2: Convert to fraction form
    276,816/363,478 = 363,478/x
  3. Step 3: Cross multiply
    276,816x = 363,478 × 363,478
  4. Step 4: Simplify right side
    276,816x = 132,116,256,484
  5. Step 5: Solve for x
    x = 132,116,256,484/276,816
  6. Step 6: Final answer
    x = 477,271.03

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.