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Finding the Third Proportional to 328,440,352.50 and 459,179,739

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Solution

The third proportional to 328,440,352.50 and 459,179,739 is: 641,961,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,440,352.50 : 459,179,739 = 459,179,739 : x
  2. Step 2: Convert to fraction form
    328,440,352.50/459,179,739 = 459,179,739/x
  3. Step 3: Cross multiply
    328,440,352.50x = 459,179,739 × 459,179,739
  4. Step 4: Simplify right side
    328,440,352.50x = 210,846,032,708,108,128
  5. Step 5: Solve for x
    x = 210,846,032,708,108,128/328,440,352.50
  6. Step 6: Final answer
    x = 641,961,412.79

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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.