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Finding the Third Proportional to 328,879 and 708,517

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Solution

The third proportional to 328,879 and 708,517 is: 1,526,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,879 : 708,517 = 708,517 : x
  2. Step 2: Convert to fraction form
    328,879/708,517 = 708,517/x
  3. Step 3: Cross multiply
    328,879x = 708,517 × 708,517
  4. Step 4: Simplify right side
    328,879x = 501,996,339,289
  5. Step 5: Solve for x
    x = 501,996,339,289/328,879
  6. Step 6: Final answer
    x = 1,526,386.12

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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.