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Finding the Third Proportional to 280,915 and 619,091

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Solution

The third proportional to 280,915 and 619,091 is: 1,364,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,915 : 619,091 = 619,091 : x
  2. Step 2: Convert to fraction form
    280,915/619,091 = 619,091/x
  3. Step 3: Cross multiply
    280,915x = 619,091 × 619,091
  4. Step 4: Simplify right side
    280,915x = 383,273,666,281
  5. Step 5: Solve for x
    x = 383,273,666,281/280,915
  6. Step 6: Final answer
    x = 1,364,375.94

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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.