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Finding the Third Proportional to 288,486 and 629,460

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Solution

The third proportional to 288,486 and 629,460 is: 1,373,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,486 : 629,460 = 629,460 : x
  2. Step 2: Convert to fraction form
    288,486/629,460 = 629,460/x
  3. Step 3: Cross multiply
    288,486x = 629,460 × 629,460
  4. Step 4: Simplify right side
    288,486x = 396,219,891,600
  5. Step 5: Solve for x
    x = 396,219,891,600/288,486
  6. Step 6: Final answer
    x = 1,373,445.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.