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Finding the Third Proportional to 356,868 and 775,944

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Solution

The third proportional to 356,868 and 775,944 is: 1,687,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,868 : 775,944 = 775,944 : x
  2. Step 2: Convert to fraction form
    356,868/775,944 = 775,944/x
  3. Step 3: Cross multiply
    356,868x = 775,944 × 775,944
  4. Step 4: Simplify right side
    356,868x = 602,089,091,136
  5. Step 5: Solve for x
    x = 602,089,091,136/356,868
  6. Step 6: Final answer
    x = 1,687,147.88

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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.