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Finding the Third Proportional to 332,717 and 721,485

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Solution

The third proportional to 332,717 and 721,485 is: 1,564,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,717 : 721,485 = 721,485 : x
  2. Step 2: Convert to fraction form
    332,717/721,485 = 721,485/x
  3. Step 3: Cross multiply
    332,717x = 721,485 × 721,485
  4. Step 4: Simplify right side
    332,717x = 520,540,605,225
  5. Step 5: Solve for x
    x = 520,540,605,225/332,717
  6. Step 6: Final answer
    x = 1,564,514.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.