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Finding the Third Proportional to 123,305 and 268,953

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Solution

The third proportional to 123,305 and 268,953 is: 586,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,305 : 268,953 = 268,953 : x
  2. Step 2: Convert to fraction form
    123,305/268,953 = 268,953/x
  3. Step 3: Cross multiply
    123,305x = 268,953 × 268,953
  4. Step 4: Simplify right side
    123,305x = 72,335,716,209
  5. Step 5: Solve for x
    x = 72,335,716,209/123,305
  6. Step 6: Final answer
    x = 586,640.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.