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Finding the Third Proportional to 151,453 and 330,415

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Solution

The third proportional to 151,453 and 330,415 is: 720,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,453 : 330,415 = 330,415 : x
  2. Step 2: Convert to fraction form
    151,453/330,415 = 330,415/x
  3. Step 3: Cross multiply
    151,453x = 330,415 × 330,415
  4. Step 4: Simplify right side
    151,453x = 109,174,072,225
  5. Step 5: Solve for x
    x = 109,174,072,225/151,453
  6. Step 6: Final answer
    x = 720,844.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.