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Finding the Third Proportional to 328,304 and 705,649

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Solution

The third proportional to 328,304 and 705,649 is: 1,516,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,304 : 705,649 = 705,649 : x
  2. Step 2: Convert to fraction form
    328,304/705,649 = 705,649/x
  3. Step 3: Cross multiply
    328,304x = 705,649 × 705,649
  4. Step 4: Simplify right side
    328,304x = 497,940,511,201
  5. Step 5: Solve for x
    x = 497,940,511,201/328,304
  6. Step 6: Final answer
    x = 1,516,705.59

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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.