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Finding the Third Proportional to 681,128 and 1,480,156

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Solution

The third proportional to 681,128 and 1,480,156 is: 3,216,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,128 : 1,480,156 = 1,480,156 : x
  2. Step 2: Convert to fraction form
    681,128/1,480,156 = 1,480,156/x
  3. Step 3: Cross multiply
    681,128x = 1,480,156 × 1,480,156
  4. Step 4: Simplify right side
    681,128x = 2,190,861,784,336
  5. Step 5: Solve for x
    x = 2,190,861,784,336/681,128
  6. Step 6: Final answer
    x = 3,216,519.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.