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Finding the Third Proportional to 382,137 and 832,943

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Solution

The third proportional to 382,137 and 832,943 is: 1,815,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,137 : 832,943 = 832,943 : x
  2. Step 2: Convert to fraction form
    382,137/832,943 = 832,943/x
  3. Step 3: Cross multiply
    382,137x = 832,943 × 832,943
  4. Step 4: Simplify right side
    382,137x = 693,794,041,249
  5. Step 5: Solve for x
    x = 693,794,041,249/382,137
  6. Step 6: Final answer
    x = 1,815,563.64

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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.