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Finding the Third Proportional to 300,018.94 and 656,079.19

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Solution

The third proportional to 300,018.94 and 656,079.19 is: 1,434,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018.94 : 656,079.19 = 656,079.19 : x
  2. Step 2: Convert to fraction form
    300,018.94/656,079.19 = 656,079.19/x
  3. Step 3: Cross multiply
    300,018.94x = 656,079.19 × 656,079.19
  4. Step 4: Simplify right side
    300,018.94x = 430,439,900,270.66
  5. Step 5: Solve for x
    x = 430,439,900,270.66/300,018.94
  6. Step 6: Final answer
    x = 1,434,709.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.