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Finding the Third Proportional to 328,392 and 707,442

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Solution

The third proportional to 328,392 and 707,442 is: 1,524,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,392 : 707,442 = 707,442 : x
  2. Step 2: Convert to fraction form
    328,392/707,442 = 707,442/x
  3. Step 3: Cross multiply
    328,392x = 707,442 × 707,442
  4. Step 4: Simplify right side
    328,392x = 500,474,183,364
  5. Step 5: Solve for x
    x = 500,474,183,364/328,392
  6. Step 6: Final answer
    x = 1,524,014.54

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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.