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Finding the Third Proportional to 257,928 and 579,344

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Solution

The third proportional to 257,928 and 579,344 is: 1,301,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,928 : 579,344 = 579,344 : x
  2. Step 2: Convert to fraction form
    257,928/579,344 = 579,344/x
  3. Step 3: Cross multiply
    257,928x = 579,344 × 579,344
  4. Step 4: Simplify right side
    257,928x = 335,639,470,336
  5. Step 5: Solve for x
    x = 335,639,470,336/257,928
  6. Step 6: Final answer
    x = 1,301,291.33

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.