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Finding the Third Proportional to 283,810 and 436,366

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Solution

The third proportional to 283,810 and 436,366 is: 670,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,810 : 436,366 = 436,366 : x
  2. Step 2: Convert to fraction form
    283,810/436,366 = 436,366/x
  3. Step 3: Cross multiply
    283,810x = 436,366 × 436,366
  4. Step 4: Simplify right side
    283,810x = 190,415,285,956
  5. Step 5: Solve for x
    x = 190,415,285,956/283,810
  6. Step 6: Final answer
    x = 670,925.22

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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.