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Finding the Third Proportional to 348,424 and 521,276

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Solution

The third proportional to 348,424 and 521,276 is: 779,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,424 : 521,276 = 521,276 : x
  2. Step 2: Convert to fraction form
    348,424/521,276 = 521,276/x
  3. Step 3: Cross multiply
    348,424x = 521,276 × 521,276
  4. Step 4: Simplify right side
    348,424x = 271,728,668,176
  5. Step 5: Solve for x
    x = 271,728,668,176/348,424
  6. Step 6: Final answer
    x = 779,879.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.