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Finding the Third Proportional to 352,613 and 521,508

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Solution

The third proportional to 352,613 and 521,508 is: 771,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,613 : 521,508 = 521,508 : x
  2. Step 2: Convert to fraction form
    352,613/521,508 = 521,508/x
  3. Step 3: Cross multiply
    352,613x = 521,508 × 521,508
  4. Step 4: Simplify right side
    352,613x = 271,970,594,064
  5. Step 5: Solve for x
    x = 271,970,594,064/352,613
  6. Step 6: Final answer
    x = 771,300.53

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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.