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Finding the Third Proportional to 114,640.50 and 128,856

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Solution

The third proportional to 114,640.50 and 128,856 is: 144,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,640.50 : 128,856 = 128,856 : x
  2. Step 2: Convert to fraction form
    114,640.50/128,856 = 128,856/x
  3. Step 3: Cross multiply
    114,640.50x = 128,856 × 128,856
  4. Step 4: Simplify right side
    114,640.50x = 16,603,868,736
  5. Step 5: Solve for x
    x = 16,603,868,736/114,640.50
  6. Step 6: Final answer
    x = 144,834.23

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.