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Finding the Third Proportional to 278,798 and 603,676

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Solution

The third proportional to 278,798 and 603,676 is: 1,307,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,798 : 603,676 = 603,676 : x
  2. Step 2: Convert to fraction form
    278,798/603,676 = 603,676/x
  3. Step 3: Cross multiply
    278,798x = 603,676 × 603,676
  4. Step 4: Simplify right side
    278,798x = 364,424,712,976
  5. Step 5: Solve for x
    x = 364,424,712,976/278,798
  6. Step 6: Final answer
    x = 1,307,128.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.