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Finding the Third Proportional to 329,185 and 708,311

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Solution

The third proportional to 329,185 and 708,311 is: 1,524,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,185 : 708,311 = 708,311 : x
  2. Step 2: Convert to fraction form
    329,185/708,311 = 708,311/x
  3. Step 3: Cross multiply
    329,185x = 708,311 × 708,311
  4. Step 4: Simplify right side
    329,185x = 501,704,472,721
  5. Step 5: Solve for x
    x = 501,704,472,721/329,185
  6. Step 6: Final answer
    x = 1,524,080.60

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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.