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Finding the Third Proportional to 283,937 and 436,421

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Solution

The third proportional to 283,937 and 436,421 is: 670,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,937 : 436,421 = 436,421 : x
  2. Step 2: Convert to fraction form
    283,937/436,421 = 436,421/x
  3. Step 3: Cross multiply
    283,937x = 436,421 × 436,421
  4. Step 4: Simplify right side
    283,937x = 190,463,289,241
  5. Step 5: Solve for x
    x = 190,463,289,241/283,937
  6. Step 6: Final answer
    x = 670,794.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.