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Finding the Third Proportional to 282,135 and 382,743

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Solution

The third proportional to 282,135 and 382,743 is: 519,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,135 : 382,743 = 382,743 : x
  2. Step 2: Convert to fraction form
    282,135/382,743 = 382,743/x
  3. Step 3: Cross multiply
    282,135x = 382,743 × 382,743
  4. Step 4: Simplify right side
    282,135x = 146,492,204,049
  5. Step 5: Solve for x
    x = 146,492,204,049/282,135
  6. Step 6: Final answer
    x = 519,227.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.