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Finding the Third Proportional to 287,102,900 and 629,790,588

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Solution

The third proportional to 287,102,900 and 629,790,588 is: 1,381,512,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,102,900 : 629,790,588 = 629,790,588 : x
  2. Step 2: Convert to fraction form
    287,102,900/629,790,588 = 629,790,588/x
  3. Step 3: Cross multiply
    287,102,900x = 629,790,588 × 629,790,588
  4. Step 4: Simplify right side
    287,102,900x = 396,636,184,733,385,728
  5. Step 5: Solve for x
    x = 396,636,184,733,385,728/287,102,900
  6. Step 6: Final answer
    x = 1,381,512,289.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.