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Finding the Third Proportional to 328,440,440 and 459,179,856

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Solution

The third proportional to 328,440,440 and 459,179,856 is: 641,961,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,440,440 : 459,179,856 = 459,179,856 : x
  2. Step 2: Convert to fraction form
    328,440,440/459,179,856 = 459,179,856/x
  3. Step 3: Cross multiply
    328,440,440x = 459,179,856 × 459,179,856
  4. Step 4: Simplify right side
    328,440,440x = 210,846,140,156,180,736
  5. Step 5: Solve for x
    x = 210,846,140,156,180,736/328,440,440
  6. Step 6: Final answer
    x = 641,961,568.91

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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.