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Finding the Third Proportional to 385,873 and 827,120

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Solution

The third proportional to 385,873 and 827,120 is: 1,772,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,873 : 827,120 = 827,120 : x
  2. Step 2: Convert to fraction form
    385,873/827,120 = 827,120/x
  3. Step 3: Cross multiply
    385,873x = 827,120 × 827,120
  4. Step 4: Simplify right side
    385,873x = 684,127,494,400
  5. Step 5: Solve for x
    x = 684,127,494,400/385,873
  6. Step 6: Final answer
    x = 1,772,934.34

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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.