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Finding the Third Proportional to 328,303 and 705,649

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Solution

The third proportional to 328,303 and 705,649 is: 1,516,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,303 : 705,649 = 705,649 : x
  2. Step 2: Convert to fraction form
    328,303/705,649 = 705,649/x
  3. Step 3: Cross multiply
    328,303x = 705,649 × 705,649
  4. Step 4: Simplify right side
    328,303x = 497,940,511,201
  5. Step 5: Solve for x
    x = 497,940,511,201/328,303
  6. Step 6: Final answer
    x = 1,516,710.21

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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.