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Finding the Third Proportional to 328,079 and 715,450

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Solution

The third proportional to 328,079 and 715,450 is: 1,560,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,079 : 715,450 = 715,450 : x
  2. Step 2: Convert to fraction form
    328,079/715,450 = 715,450/x
  3. Step 3: Cross multiply
    328,079x = 715,450 × 715,450
  4. Step 4: Simplify right side
    328,079x = 511,868,702,500
  5. Step 5: Solve for x
    x = 511,868,702,500/328,079
  6. Step 6: Final answer
    x = 1,560,199.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.