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Finding the Third Proportional to 328,408 and 705,929

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Solution

The third proportional to 328,408 and 705,929 is: 1,517,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,408 : 705,929 = 705,929 : x
  2. Step 2: Convert to fraction form
    328,408/705,929 = 705,929/x
  3. Step 3: Cross multiply
    328,408x = 705,929 × 705,929
  4. Step 4: Simplify right side
    328,408x = 498,335,753,041
  5. Step 5: Solve for x
    x = 498,335,753,041/328,408
  6. Step 6: Final answer
    x = 1,517,428.79

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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.