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Finding the Third Proportional to 469,696 and 629,240

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Solution

The third proportional to 469,696 and 629,240 is: 842,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,696 : 629,240 = 629,240 : x
  2. Step 2: Convert to fraction form
    469,696/629,240 = 629,240/x
  3. Step 3: Cross multiply
    469,696x = 629,240 × 629,240
  4. Step 4: Simplify right side
    469,696x = 395,942,977,600
  5. Step 5: Solve for x
    x = 395,942,977,600/469,696
  6. Step 6: Final answer
    x = 842,977.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.