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Finding the Third Proportional to 380,583 and 828,972

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Solution

The third proportional to 380,583 and 828,972 is: 1,805,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,583 : 828,972 = 828,972 : x
  2. Step 2: Convert to fraction form
    380,583/828,972 = 828,972/x
  3. Step 3: Cross multiply
    380,583x = 828,972 × 828,972
  4. Step 4: Simplify right side
    380,583x = 687,194,576,784
  5. Step 5: Solve for x
    x = 687,194,576,784/380,583
  6. Step 6: Final answer
    x = 1,805,636.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.