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Finding the Third Proportional to 454,086 and 681,128

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Solution

The third proportional to 454,086 and 681,128 is: 1,021,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,086 : 681,128 = 681,128 : x
  2. Step 2: Convert to fraction form
    454,086/681,128 = 681,128/x
  3. Step 3: Cross multiply
    454,086x = 681,128 × 681,128
  4. Step 4: Simplify right side
    454,086x = 463,935,352,384
  5. Step 5: Solve for x
    x = 463,935,352,384/454,086
  6. Step 6: Final answer
    x = 1,021,690.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.