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Finding the Third Proportional to 348,524 and 521,400

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Solution

The third proportional to 348,524 and 521,400 is: 780,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,524 : 521,400 = 521,400 : x
  2. Step 2: Convert to fraction form
    348,524/521,400 = 521,400/x
  3. Step 3: Cross multiply
    348,524x = 521,400 × 521,400
  4. Step 4: Simplify right side
    348,524x = 271,857,960,000
  5. Step 5: Solve for x
    x = 271,857,960,000/348,524
  6. Step 6: Final answer
    x = 780,026.51

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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.