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Finding the Third Proportional to 329,658 and 705,972

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Solution

The third proportional to 329,658 and 705,972 is: 1,511,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,658 : 705,972 = 705,972 : x
  2. Step 2: Convert to fraction form
    329,658/705,972 = 705,972/x
  3. Step 3: Cross multiply
    329,658x = 705,972 × 705,972
  4. Step 4: Simplify right side
    329,658x = 498,396,464,784
  5. Step 5: Solve for x
    x = 498,396,464,784/329,658
  6. Step 6: Final answer
    x = 1,511,859.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.