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Finding the Third Proportional to 395,705 and 613,106

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Solution

The third proportional to 395,705 and 613,106 is: 949,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,705 : 613,106 = 613,106 : x
  2. Step 2: Convert to fraction form
    395,705/613,106 = 613,106/x
  3. Step 3: Cross multiply
    395,705x = 613,106 × 613,106
  4. Step 4: Simplify right side
    395,705x = 375,898,967,236
  5. Step 5: Solve for x
    x = 375,898,967,236/395,705
  6. Step 6: Final answer
    x = 949,947.48

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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.