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Finding the Third Proportional to 437,790 and 629,037

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Solution

The third proportional to 437,790 and 629,037 is: 903,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,790 : 629,037 = 629,037 : x
  2. Step 2: Convert to fraction form
    437,790/629,037 = 629,037/x
  3. Step 3: Cross multiply
    437,790x = 629,037 × 629,037
  4. Step 4: Simplify right side
    437,790x = 395,687,547,369
  5. Step 5: Solve for x
    x = 395,687,547,369/437,790
  6. Step 6: Final answer
    x = 903,829.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.