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Finding the Third Proportional to 300,121.88 and 457,805.25

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Solution

The third proportional to 300,121.88 and 457,805.25 is: 698,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,121.88 : 457,805.25 = 457,805.25 : x
  2. Step 2: Convert to fraction form
    300,121.88/457,805.25 = 457,805.25/x
  3. Step 3: Cross multiply
    300,121.88x = 457,805.25 × 457,805.25
  4. Step 4: Simplify right side
    300,121.88x = 209,585,646,927.56
  5. Step 5: Solve for x
    x = 209,585,646,927.56/300,121.88
  6. Step 6: Final answer
    x = 698,335.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.