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Finding the Third Proportional to 512,415 and 814,240

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Solution

The third proportional to 512,415 and 814,240 is: 1,293,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,415 : 814,240 = 814,240 : x
  2. Step 2: Convert to fraction form
    512,415/814,240 = 814,240/x
  3. Step 3: Cross multiply
    512,415x = 814,240 × 814,240
  4. Step 4: Simplify right side
    512,415x = 662,986,777,600
  5. Step 5: Solve for x
    x = 662,986,777,600/512,415
  6. Step 6: Final answer
    x = 1,293,847.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.