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Finding the Third Proportional to 268,455 and 578,949

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Solution

The third proportional to 268,455 and 578,949 is: 1,248,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,455 : 578,949 = 578,949 : x
  2. Step 2: Convert to fraction form
    268,455/578,949 = 578,949/x
  3. Step 3: Cross multiply
    268,455x = 578,949 × 578,949
  4. Step 4: Simplify right side
    268,455x = 335,181,944,601
  5. Step 5: Solve for x
    x = 335,181,944,601/268,455
  6. Step 6: Final answer
    x = 1,248,559.14

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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.