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Finding the Third Proportional to 315,451 and 476,939.50

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Solution

The third proportional to 315,451 and 476,939.50 is: 721,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,451 : 476,939.50 = 476,939.50 : x
  2. Step 2: Convert to fraction form
    315,451/476,939.50 = 476,939.50/x
  3. Step 3: Cross multiply
    315,451x = 476,939.50 × 476,939.50
  4. Step 4: Simplify right side
    315,451x = 227,471,286,660.25
  5. Step 5: Solve for x
    x = 227,471,286,660.25/315,451
  6. Step 6: Final answer
    x = 721,098.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.