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Finding the Third Proportional to 678,798 and 1,412,739

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Solution

The third proportional to 678,798 and 1,412,739 is: 2,940,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,798 : 1,412,739 = 1,412,739 : x
  2. Step 2: Convert to fraction form
    678,798/1,412,739 = 1,412,739/x
  3. Step 3: Cross multiply
    678,798x = 1,412,739 × 1,412,739
  4. Step 4: Simplify right side
    678,798x = 1,995,831,482,121
  5. Step 5: Solve for x
    x = 1,995,831,482,121/678,798
  6. Step 6: Final answer
    x = 2,940,243.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.