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Finding the Third Proportional to 395,392 and 847,991

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Solution

The third proportional to 395,392 and 847,991 is: 1,818,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,392 : 847,991 = 847,991 : x
  2. Step 2: Convert to fraction form
    395,392/847,991 = 847,991/x
  3. Step 3: Cross multiply
    395,392x = 847,991 × 847,991
  4. Step 4: Simplify right side
    395,392x = 719,088,736,081
  5. Step 5: Solve for x
    x = 719,088,736,081/395,392
  6. Step 6: Final answer
    x = 1,818,672.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.