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Finding the Third Proportional to 280,380 and 616,833

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Solution

The third proportional to 280,380 and 616,833 is: 1,357,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,380 : 616,833 = 616,833 : x
  2. Step 2: Convert to fraction form
    280,380/616,833 = 616,833/x
  3. Step 3: Cross multiply
    280,380x = 616,833 × 616,833
  4. Step 4: Simplify right side
    280,380x = 380,482,949,889
  5. Step 5: Solve for x
    x = 380,482,949,889/280,380
  6. Step 6: Final answer
    x = 1,357,026.00

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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.