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Finding the Third Proportional to 255,150 and 554,634

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Solution

The third proportional to 255,150 and 554,634 is: 1,205,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,150 : 554,634 = 554,634 : x
  2. Step 2: Convert to fraction form
    255,150/554,634 = 554,634/x
  3. Step 3: Cross multiply
    255,150x = 554,634 × 554,634
  4. Step 4: Simplify right side
    255,150x = 307,618,873,956
  5. Step 5: Solve for x
    x = 307,618,873,956/255,150
  6. Step 6: Final answer
    x = 1,205,639.33

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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.