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Finding the Third Proportional to 215,784 and 474,396

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Solution

The third proportional to 215,784 and 474,396 is: 1,042,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,784 : 474,396 = 474,396 : x
  2. Step 2: Convert to fraction form
    215,784/474,396 = 474,396/x
  3. Step 3: Cross multiply
    215,784x = 474,396 × 474,396
  4. Step 4: Simplify right side
    215,784x = 225,051,564,816
  5. Step 5: Solve for x
    x = 225,051,564,816/215,784
  6. Step 6: Final answer
    x = 1,042,948.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.