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Finding the Third Proportional to 215,830.13 and 474,489

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Solution

The third proportional to 215,830.13 and 474,489 is: 1,043,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,830.13 : 474,489 = 474,489 : x
  2. Step 2: Convert to fraction form
    215,830.13/474,489 = 474,489/x
  3. Step 3: Cross multiply
    215,830.13x = 474,489 × 474,489
  4. Step 4: Simplify right side
    215,830.13x = 225,139,811,121
  5. Step 5: Solve for x
    x = 225,139,811,121/215,830.13
  6. Step 6: Final answer
    x = 1,043,134.32

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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.