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Finding the Third Proportional to 280,914 and 619,089

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Solution

The third proportional to 280,914 and 619,089 is: 1,364,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,914 : 619,089 = 619,089 : x
  2. Step 2: Convert to fraction form
    280,914/619,089 = 619,089/x
  3. Step 3: Cross multiply
    280,914x = 619,089 × 619,089
  4. Step 4: Simplify right side
    280,914x = 383,271,189,921
  5. Step 5: Solve for x
    x = 383,271,189,921/280,914
  6. Step 6: Final answer
    x = 1,364,371.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.