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Finding the Third Proportional to 779,798 and 1,178,193

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Solution

The third proportional to 779,798 and 1,178,193 is: 1,780,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,798 : 1,178,193 = 1,178,193 : x
  2. Step 2: Convert to fraction form
    779,798/1,178,193 = 1,178,193/x
  3. Step 3: Cross multiply
    779,798x = 1,178,193 × 1,178,193
  4. Step 4: Simplify right side
    779,798x = 1,388,138,745,249
  5. Step 5: Solve for x
    x = 1,388,138,745,249/779,798
  6. Step 6: Final answer
    x = 1,780,126.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.