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Finding the Third Proportional to 328,986 and 707,866

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Solution

The third proportional to 328,986 and 707,866 is: 1,523,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,986 : 707,866 = 707,866 : x
  2. Step 2: Convert to fraction form
    328,986/707,866 = 707,866/x
  3. Step 3: Cross multiply
    328,986x = 707,866 × 707,866
  4. Step 4: Simplify right side
    328,986x = 501,074,273,956
  5. Step 5: Solve for x
    x = 501,074,273,956/328,986
  6. Step 6: Final answer
    x = 1,523,086.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.