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Finding the Third Proportional to 477,708 and 679,031

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Solution

The third proportional to 477,708 and 679,031 is: 965,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,708 : 679,031 = 679,031 : x
  2. Step 2: Convert to fraction form
    477,708/679,031 = 679,031/x
  3. Step 3: Cross multiply
    477,708x = 679,031 × 679,031
  4. Step 4: Simplify right side
    477,708x = 461,083,098,961
  5. Step 5: Solve for x
    x = 461,083,098,961/477,708
  6. Step 6: Final answer
    x = 965,198.61

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.