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Finding the Third Proportional to 525,453 and 815,274

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Solution

The third proportional to 525,453 and 815,274 is: 1,264,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,453 : 815,274 = 815,274 : x
  2. Step 2: Convert to fraction form
    525,453/815,274 = 815,274/x
  3. Step 3: Cross multiply
    525,453x = 815,274 × 815,274
  4. Step 4: Simplify right side
    525,453x = 664,671,695,076
  5. Step 5: Solve for x
    x = 664,671,695,076/525,453
  6. Step 6: Final answer
    x = 1,264,949.85

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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.