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Finding the Third Proportional to 282,404 and 605,740

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Solution

The third proportional to 282,404 and 605,740 is: 1,299,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,404 : 605,740 = 605,740 : x
  2. Step 2: Convert to fraction form
    282,404/605,740 = 605,740/x
  3. Step 3: Cross multiply
    282,404x = 605,740 × 605,740
  4. Step 4: Simplify right side
    282,404x = 366,920,947,600
  5. Step 5: Solve for x
    x = 366,920,947,600/282,404
  6. Step 6: Final answer
    x = 1,299,276.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.