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Finding the Third Proportional to 395,415 and 612,785

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Solution

The third proportional to 395,415 and 612,785 is: 949,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,415 : 612,785 = 612,785 : x
  2. Step 2: Convert to fraction form
    395,415/612,785 = 612,785/x
  3. Step 3: Cross multiply
    395,415x = 612,785 × 612,785
  4. Step 4: Simplify right side
    395,415x = 375,505,456,225
  5. Step 5: Solve for x
    x = 375,505,456,225/395,415
  6. Step 6: Final answer
    x = 949,648.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.