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Finding the Third Proportional to 215,840 and 474,510

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Solution

The third proportional to 215,840 and 474,510 is: 1,043,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,840 : 474,510 = 474,510 : x
  2. Step 2: Convert to fraction form
    215,840/474,510 = 474,510/x
  3. Step 3: Cross multiply
    215,840x = 474,510 × 474,510
  4. Step 4: Simplify right side
    215,840x = 225,159,740,100
  5. Step 5: Solve for x
    x = 225,159,740,100/215,840
  6. Step 6: Final answer
    x = 1,043,178.93

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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.