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Finding the Third Proportional to 280,747,212 and 436,430,826

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Solution

The third proportional to 280,747,212 and 436,430,826 is: 678,446,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,747,212 : 436,430,826 = 436,430,826 : x
  2. Step 2: Convert to fraction form
    280,747,212/436,430,826 = 436,430,826/x
  3. Step 3: Cross multiply
    280,747,212x = 436,430,826 × 436,430,826
  4. Step 4: Simplify right side
    280,747,212x = 190,471,865,883,042,272
  5. Step 5: Solve for x
    x = 190,471,865,883,042,272/280,747,212
  6. Step 6: Final answer
    x = 678,446,152.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.