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Finding the Third Proportional to 689,400 and 1,029,928.50

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Solution

The third proportional to 689,400 and 1,029,928.50 is: 1,538,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,400 : 1,029,928.50 = 1,029,928.50 : x
  2. Step 2: Convert to fraction form
    689,400/1,029,928.50 = 1,029,928.50/x
  3. Step 3: Cross multiply
    689,400x = 1,029,928.50 × 1,029,928.50
  4. Step 4: Simplify right side
    689,400x = 1,060,752,715,112.25
  5. Step 5: Solve for x
    x = 1,060,752,715,112.25/689,400
  6. Step 6: Final answer
    x = 1,538,660.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.