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Finding the Third Proportional to 326,728 and 707,755

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Solution

The third proportional to 326,728 and 707,755 is: 1,533,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,728 : 707,755 = 707,755 : x
  2. Step 2: Convert to fraction form
    326,728/707,755 = 707,755/x
  3. Step 3: Cross multiply
    326,728x = 707,755 × 707,755
  4. Step 4: Simplify right side
    326,728x = 500,917,140,025
  5. Step 5: Solve for x
    x = 500,917,140,025/326,728
  6. Step 6: Final answer
    x = 1,533,131.96

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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.