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Finding the Third Proportional to 452,742 and 984,108

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Solution

The third proportional to 452,742 and 984,108 is: 2,139,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,742 : 984,108 = 984,108 : x
  2. Step 2: Convert to fraction form
    452,742/984,108 = 984,108/x
  3. Step 3: Cross multiply
    452,742x = 984,108 × 984,108
  4. Step 4: Simplify right side
    452,742x = 968,468,555,664
  5. Step 5: Solve for x
    x = 968,468,555,664/452,742
  6. Step 6: Final answer
    x = 2,139,117.99

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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.