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Finding the Third Proportional to 331,315 and 720,625

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Solution

The third proportional to 331,315 and 720,625 is: 1,567,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,315 : 720,625 = 720,625 : x
  2. Step 2: Convert to fraction form
    331,315/720,625 = 720,625/x
  3. Step 3: Cross multiply
    331,315x = 720,625 × 720,625
  4. Step 4: Simplify right side
    331,315x = 519,300,390,625
  5. Step 5: Solve for x
    x = 519,300,390,625/331,315
  6. Step 6: Final answer
    x = 1,567,391.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.