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Finding the Third Proportional to 395,550 and 612,954

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Solution

The third proportional to 395,550 and 612,954 is: 949,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,550 : 612,954 = 612,954 : x
  2. Step 2: Convert to fraction form
    395,550/612,954 = 612,954/x
  3. Step 3: Cross multiply
    395,550x = 612,954 × 612,954
  4. Step 4: Simplify right side
    395,550x = 375,712,606,116
  5. Step 5: Solve for x
    x = 375,712,606,116/395,550
  6. Step 6: Final answer
    x = 949,848.58

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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.