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Finding the Third Proportional to 352,620 and 521,511

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Solution

The third proportional to 352,620 and 521,511 is: 771,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,620 : 521,511 = 521,511 : x
  2. Step 2: Convert to fraction form
    352,620/521,511 = 521,511/x
  3. Step 3: Cross multiply
    352,620x = 521,511 × 521,511
  4. Step 4: Simplify right side
    352,620x = 271,973,723,121
  5. Step 5: Solve for x
    x = 271,973,723,121/352,620
  6. Step 6: Final answer
    x = 771,294.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.