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Finding the Third Proportional to 280,419 and 616,911

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Solution

The third proportional to 280,419 and 616,911 is: 1,357,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,419 : 616,911 = 616,911 : x
  2. Step 2: Convert to fraction form
    280,419/616,911 = 616,911/x
  3. Step 3: Cross multiply
    280,419x = 616,911 × 616,911
  4. Step 4: Simplify right side
    280,419x = 380,579,181,921
  5. Step 5: Solve for x
    x = 380,579,181,921/280,419
  6. Step 6: Final answer
    x = 1,357,180.44

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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.