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Finding the Third Proportional to 328,218 and 772,755

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Solution

The third proportional to 328,218 and 772,755 is: 1,819,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,218 : 772,755 = 772,755 : x
  2. Step 2: Convert to fraction form
    328,218/772,755 = 772,755/x
  3. Step 3: Cross multiply
    328,218x = 772,755 × 772,755
  4. Step 4: Simplify right side
    328,218x = 597,150,290,025
  5. Step 5: Solve for x
    x = 597,150,290,025/328,218
  6. Step 6: Final answer
    x = 1,819,370.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.