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Finding the Third Proportional to 328,401 and 708,102

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Solution

The third proportional to 328,401 and 708,102 is: 1,526,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,401 : 708,102 = 708,102 : x
  2. Step 2: Convert to fraction form
    328,401/708,102 = 708,102/x
  3. Step 3: Cross multiply
    328,401x = 708,102 × 708,102
  4. Step 4: Simplify right side
    328,401x = 501,408,442,404
  5. Step 5: Solve for x
    x = 501,408,442,404/328,401
  6. Step 6: Final answer
    x = 1,526,817.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.