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Finding the Third Proportional to 395,580 and 612,142

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Solution

The third proportional to 395,580 and 612,142 is: 947,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,580 : 612,142 = 612,142 : x
  2. Step 2: Convert to fraction form
    395,580/612,142 = 612,142/x
  3. Step 3: Cross multiply
    395,580x = 612,142 × 612,142
  4. Step 4: Simplify right side
    395,580x = 374,717,828,164
  5. Step 5: Solve for x
    x = 374,717,828,164/395,580
  6. Step 6: Final answer
    x = 947,261.81

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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.