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Finding the Third Proportional to 386,769 and 830,673

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Solution

The third proportional to 386,769 and 830,673 is: 1,784,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,769 : 830,673 = 830,673 : x
  2. Step 2: Convert to fraction form
    386,769/830,673 = 830,673/x
  3. Step 3: Cross multiply
    386,769x = 830,673 × 830,673
  4. Step 4: Simplify right side
    386,769x = 690,017,632,929
  5. Step 5: Solve for x
    x = 690,017,632,929/386,769
  6. Step 6: Final answer
    x = 1,784,056.20

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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.