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Finding the Third Proportional to 385,872 and 834,136

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Solution

The third proportional to 385,872 and 834,136 is: 1,803,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,872 : 834,136 = 834,136 : x
  2. Step 2: Convert to fraction form
    385,872/834,136 = 834,136/x
  3. Step 3: Cross multiply
    385,872x = 834,136 × 834,136
  4. Step 4: Simplify right side
    385,872x = 695,782,866,496
  5. Step 5: Solve for x
    x = 695,782,866,496/385,872
  6. Step 6: Final answer
    x = 1,803,144.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.