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Finding the Third Proportional to 525,508 and 815,252

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Solution

The third proportional to 525,508 and 815,252 is: 1,264,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,508 : 815,252 = 815,252 : x
  2. Step 2: Convert to fraction form
    525,508/815,252 = 815,252/x
  3. Step 3: Cross multiply
    525,508x = 815,252 × 815,252
  4. Step 4: Simplify right side
    525,508x = 664,635,823,504
  5. Step 5: Solve for x
    x = 664,635,823,504/525,508
  6. Step 6: Final answer
    x = 1,264,749.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.