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Finding the Third Proportional to 300,720 and 397,498

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Solution

The third proportional to 300,720 and 397,498 is: 525,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,720 : 397,498 = 397,498 : x
  2. Step 2: Convert to fraction form
    300,720/397,498 = 397,498/x
  3. Step 3: Cross multiply
    300,720x = 397,498 × 397,498
  4. Step 4: Simplify right side
    300,720x = 158,004,660,004
  5. Step 5: Solve for x
    x = 158,004,660,004/300,720
  6. Step 6: Final answer
    x = 525,421.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.