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Finding the Third Proportional to 282,133 and 382,740

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Solution

The third proportional to 282,133 and 382,740 is: 519,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,133 : 382,740 = 382,740 : x
  2. Step 2: Convert to fraction form
    282,133/382,740 = 382,740/x
  3. Step 3: Cross multiply
    282,133x = 382,740 × 382,740
  4. Step 4: Simplify right side
    282,133x = 146,489,907,600
  5. Step 5: Solve for x
    x = 146,489,907,600/282,133
  6. Step 6: Final answer
    x = 519,222.88

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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.