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Finding the Third Proportional to 328,440,436 and 459,179,850

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Solution

The third proportional to 328,440,436 and 459,179,850 is: 641,961,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,440,436 : 459,179,850 = 459,179,850 : x
  2. Step 2: Convert to fraction form
    328,440,436/459,179,850 = 459,179,850/x
  3. Step 3: Cross multiply
    328,440,436x = 459,179,850 × 459,179,850
  4. Step 4: Simplify right side
    328,440,436x = 210,846,134,646,022,496
  5. Step 5: Solve for x
    x = 210,846,134,646,022,496/328,440,436
  6. Step 6: Final answer
    x = 641,961,559.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.