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Finding the Third Proportional to 525,454 and 815,288

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Solution

The third proportional to 525,454 and 815,288 is: 1,264,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,454 : 815,288 = 815,288 : x
  2. Step 2: Convert to fraction form
    525,454/815,288 = 815,288/x
  3. Step 3: Cross multiply
    525,454x = 815,288 × 815,288
  4. Step 4: Simplify right side
    525,454x = 664,694,522,944
  5. Step 5: Solve for x
    x = 664,694,522,944/525,454
  6. Step 6: Final answer
    x = 1,264,990.89

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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.