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Finding the Third Proportional to 386,805 and 830,739

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Solution

The third proportional to 386,805 and 830,739 is: 1,784,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,805 : 830,739 = 830,739 : x
  2. Step 2: Convert to fraction form
    386,805/830,739 = 830,739/x
  3. Step 3: Cross multiply
    386,805x = 830,739 × 830,739
  4. Step 4: Simplify right side
    386,805x = 690,127,286,121
  5. Step 5: Solve for x
    x = 690,127,286,121/386,805
  6. Step 6: Final answer
    x = 1,784,173.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.