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Finding the Third Proportional to 257,929 and 579,346

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Solution

The third proportional to 257,929 and 579,346 is: 1,301,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,929 : 579,346 = 579,346 : x
  2. Step 2: Convert to fraction form
    257,929/579,346 = 579,346/x
  3. Step 3: Cross multiply
    257,929x = 579,346 × 579,346
  4. Step 4: Simplify right side
    257,929x = 335,641,787,716
  5. Step 5: Solve for x
    x = 335,641,787,716/257,929
  6. Step 6: Final answer
    x = 1,301,295.27

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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.