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Finding the Third Proportional to 280,968 and 621,024

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Solution

The third proportional to 280,968 and 621,024 is: 1,372,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,968 : 621,024 = 621,024 : x
  2. Step 2: Convert to fraction form
    280,968/621,024 = 621,024/x
  3. Step 3: Cross multiply
    280,968x = 621,024 × 621,024
  4. Step 4: Simplify right side
    280,968x = 385,670,808,576
  5. Step 5: Solve for x
    x = 385,670,808,576/280,968
  6. Step 6: Final answer
    x = 1,372,650.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.