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Finding the Third Proportional to 289,466 and 622,996

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Solution

The third proportional to 289,466 and 622,996 is: 1,340,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,466 : 622,996 = 622,996 : x
  2. Step 2: Convert to fraction form
    289,466/622,996 = 622,996/x
  3. Step 3: Cross multiply
    289,466x = 622,996 × 622,996
  4. Step 4: Simplify right side
    289,466x = 388,124,016,016
  5. Step 5: Solve for x
    x = 388,124,016,016/289,466
  6. Step 6: Final answer
    x = 1,340,827.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.