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Finding the Third Proportional to 395,151 and 611,277

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Solution

The third proportional to 395,151 and 611,277 is: 945,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,151 : 611,277 = 611,277 : x
  2. Step 2: Convert to fraction form
    395,151/611,277 = 611,277/x
  3. Step 3: Cross multiply
    395,151x = 611,277 × 611,277
  4. Step 4: Simplify right side
    395,151x = 373,659,570,729
  5. Step 5: Solve for x
    x = 373,659,570,729/395,151
  6. Step 6: Final answer
    x = 945,612.11

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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.