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Finding the Third Proportional to 300,128 and 457,815

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Solution

The third proportional to 300,128 and 457,815 is: 698,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,128 : 457,815 = 457,815 : x
  2. Step 2: Convert to fraction form
    300,128/457,815 = 457,815/x
  3. Step 3: Cross multiply
    300,128x = 457,815 × 457,815
  4. Step 4: Simplify right side
    300,128x = 209,594,574,225
  5. Step 5: Solve for x
    x = 209,594,574,225/300,128
  6. Step 6: Final answer
    x = 698,350.62

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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.