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Finding the Third Proportional to 618,829.50 and 984,679.50

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Solution

The third proportional to 618,829.50 and 984,679.50 is: 1,566,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,829.50 : 984,679.50 = 984,679.50 : x
  2. Step 2: Convert to fraction form
    618,829.50/984,679.50 = 984,679.50/x
  3. Step 3: Cross multiply
    618,829.50x = 984,679.50 × 984,679.50
  4. Step 4: Simplify right side
    618,829.50x = 969,593,717,720.25
  5. Step 5: Solve for x
    x = 969,593,717,720.25/618,829.50
  6. Step 6: Final answer
    x = 1,566,818.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.