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Finding the Third Proportional to 382,780 and 838,136

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Solution

The third proportional to 382,780 and 838,136 is: 1,835,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,780 : 838,136 = 838,136 : x
  2. Step 2: Convert to fraction form
    382,780/838,136 = 838,136/x
  3. Step 3: Cross multiply
    382,780x = 838,136 × 838,136
  4. Step 4: Simplify right side
    382,780x = 702,471,954,496
  5. Step 5: Solve for x
    x = 702,471,954,496/382,780
  6. Step 6: Final answer
    x = 1,835,184.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.