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Finding the Third Proportional to 688,632.75 and 1,068,873.75

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Solution

The third proportional to 688,632.75 and 1,068,873.75 is: 1,659,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,632.75 : 1,068,873.75 = 1,068,873.75 : x
  2. Step 2: Convert to fraction form
    688,632.75/1,068,873.75 = 1,068,873.75/x
  3. Step 3: Cross multiply
    688,632.75x = 1,068,873.75 × 1,068,873.75
  4. Step 4: Simplify right side
    688,632.75x = 1,142,491,093,439.06
  5. Step 5: Solve for x
    x = 1,142,491,093,439.06/688,632.75
  6. Step 6: Final answer
    x = 1,659,071.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.