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Finding the Third Proportional to 257,936 and 579,360

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Solution

The third proportional to 257,936 and 579,360 is: 1,301,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,936 : 579,360 = 579,360 : x
  2. Step 2: Convert to fraction form
    257,936/579,360 = 579,360/x
  3. Step 3: Cross multiply
    257,936x = 579,360 × 579,360
  4. Step 4: Simplify right side
    257,936x = 335,658,009,600
  5. Step 5: Solve for x
    x = 335,658,009,600/257,936
  6. Step 6: Final answer
    x = 1,301,322.85

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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.