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Finding the Third Proportional to 525,447 and 815,278

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Solution

The third proportional to 525,447 and 815,278 is: 1,264,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,447 : 815,278 = 815,278 : x
  2. Step 2: Convert to fraction form
    525,447/815,278 = 815,278/x
  3. Step 3: Cross multiply
    525,447x = 815,278 × 815,278
  4. Step 4: Simplify right side
    525,447x = 664,678,217,284
  5. Step 5: Solve for x
    x = 664,678,217,284/525,447
  6. Step 6: Final answer
    x = 1,264,976.71

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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.