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Finding the Third Proportional to 280,385 and 616,843

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Solution

The third proportional to 280,385 and 616,843 is: 1,357,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,385 : 616,843 = 616,843 : x
  2. Step 2: Convert to fraction form
    280,385/616,843 = 616,843/x
  3. Step 3: Cross multiply
    280,385x = 616,843 × 616,843
  4. Step 4: Simplify right side
    280,385x = 380,495,286,649
  5. Step 5: Solve for x
    x = 380,495,286,649/280,385
  6. Step 6: Final answer
    x = 1,357,045.80

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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.