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Finding the Third Proportional to 395,712 and 612,000

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Solution

The third proportional to 395,712 and 612,000 is: 946,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,712 : 612,000 = 612,000 : x
  2. Step 2: Convert to fraction form
    395,712/612,000 = 612,000/x
  3. Step 3: Cross multiply
    395,712x = 612,000 × 612,000
  4. Step 4: Simplify right side
    395,712x = 374,544,000,000
  5. Step 5: Solve for x
    x = 374,544,000,000/395,712
  6. Step 6: Final answer
    x = 946,506.55

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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.