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Finding the Third Proportional to 285,431 and 444,489

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Solution

The third proportional to 285,431 and 444,489 is: 692,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,431 : 444,489 = 444,489 : x
  2. Step 2: Convert to fraction form
    285,431/444,489 = 444,489/x
  3. Step 3: Cross multiply
    285,431x = 444,489 × 444,489
  4. Step 4: Simplify right side
    285,431x = 197,570,471,121
  5. Step 5: Solve for x
    x = 197,570,471,121/285,431
  6. Step 6: Final answer
    x = 692,182.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.