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Finding the Third Proportional to 365,810 and 521,497

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Solution

The third proportional to 365,810 and 521,497 is: 743,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,810 : 521,497 = 521,497 : x
  2. Step 2: Convert to fraction form
    365,810/521,497 = 521,497/x
  3. Step 3: Cross multiply
    365,810x = 521,497 × 521,497
  4. Step 4: Simplify right side
    365,810x = 271,959,121,009
  5. Step 5: Solve for x
    x = 271,959,121,009/365,810
  6. Step 6: Final answer
    x = 743,443.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.