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Finding the Third Proportional to 282,811 and 609,901

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Solution

The third proportional to 282,811 and 609,901 is: 1,315,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,811 : 609,901 = 609,901 : x
  2. Step 2: Convert to fraction form
    282,811/609,901 = 609,901/x
  3. Step 3: Cross multiply
    282,811x = 609,901 × 609,901
  4. Step 4: Simplify right side
    282,811x = 371,979,229,801
  5. Step 5: Solve for x
    x = 371,979,229,801/282,811
  6. Step 6: Final answer
    x = 1,315,292.65

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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.