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Finding the Third Proportional to 282,291 and 605,513

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Solution

The third proportional to 282,291 and 605,513 is: 1,298,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,291 : 605,513 = 605,513 : x
  2. Step 2: Convert to fraction form
    282,291/605,513 = 605,513/x
  3. Step 3: Cross multiply
    282,291x = 605,513 × 605,513
  4. Step 4: Simplify right side
    282,291x = 366,645,993,169
  5. Step 5: Solve for x
    x = 366,645,993,169/282,291
  6. Step 6: Final answer
    x = 1,298,822.82

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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.