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Finding the Third Proportional to 352,617 and 521,514

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Solution

The third proportional to 352,617 and 521,514 is: 771,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,617 : 521,514 = 521,514 : x
  2. Step 2: Convert to fraction form
    352,617/521,514 = 521,514/x
  3. Step 3: Cross multiply
    352,617x = 521,514 × 521,514
  4. Step 4: Simplify right side
    352,617x = 271,976,852,196
  5. Step 5: Solve for x
    x = 271,976,852,196/352,617
  6. Step 6: Final answer
    x = 771,309.53

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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.