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Finding the Third Proportional to 276,814 and 363,475

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Solution

The third proportional to 276,814 and 363,475 is: 477,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814 : 363,475 = 363,475 : x
  2. Step 2: Convert to fraction form
    276,814/363,475 = 363,475/x
  3. Step 3: Cross multiply
    276,814x = 363,475 × 363,475
  4. Step 4: Simplify right side
    276,814x = 132,114,075,625
  5. Step 5: Solve for x
    x = 132,114,075,625/276,814
  6. Step 6: Final answer
    x = 477,266.60

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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.