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Finding the Third Proportional to 498,489 and 1,081,107

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Solution

The third proportional to 498,489 and 1,081,107 is: 2,344,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,489 : 1,081,107 = 1,081,107 : x
  2. Step 2: Convert to fraction form
    498,489/1,081,107 = 1,081,107/x
  3. Step 3: Cross multiply
    498,489x = 1,081,107 × 1,081,107
  4. Step 4: Simplify right side
    498,489x = 1,168,792,345,449
  5. Step 5: Solve for x
    x = 1,168,792,345,449/498,489
  6. Step 6: Final answer
    x = 2,344,670.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.