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Finding the Third Proportional to 300,120 and 457,687

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Solution

The third proportional to 300,120 and 457,687 is: 697,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,120 : 457,687 = 457,687 : x
  2. Step 2: Convert to fraction form
    300,120/457,687 = 457,687/x
  3. Step 3: Cross multiply
    300,120x = 457,687 × 457,687
  4. Step 4: Simplify right side
    300,120x = 209,477,389,969
  5. Step 5: Solve for x
    x = 209,477,389,969/300,120
  6. Step 6: Final answer
    x = 697,978.78

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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.