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Finding the Third Proportional to 263,454 and 621,213

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Solution

The third proportional to 263,454 and 621,213 is: 1,464,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,454 : 621,213 = 621,213 : x
  2. Step 2: Convert to fraction form
    263,454/621,213 = 621,213/x
  3. Step 3: Cross multiply
    263,454x = 621,213 × 621,213
  4. Step 4: Simplify right side
    263,454x = 385,905,591,369
  5. Step 5: Solve for x
    x = 385,905,591,369/263,454
  6. Step 6: Final answer
    x = 1,464,793.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.