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Finding the Third Proportional to 348,322 and 521,132

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Solution

The third proportional to 348,322 and 521,132 is: 779,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,322 : 521,132 = 521,132 : x
  2. Step 2: Convert to fraction form
    348,322/521,132 = 521,132/x
  3. Step 3: Cross multiply
    348,322x = 521,132 × 521,132
  4. Step 4: Simplify right side
    348,322x = 271,578,561,424
  5. Step 5: Solve for x
    x = 271,578,561,424/348,322
  6. Step 6: Final answer
    x = 779,676.74

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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.