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Finding the Third Proportional to 106,206.19 and 128,440.69

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Solution

The third proportional to 106,206.19 and 128,440.69 is: 155,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206.19 : 128,440.69 = 128,440.69 : x
  2. Step 2: Convert to fraction form
    106,206.19/128,440.69 = 128,440.69/x
  3. Step 3: Cross multiply
    106,206.19x = 128,440.69 × 128,440.69
  4. Step 4: Simplify right side
    106,206.19x = 16,497,010,205.47
  5. Step 5: Solve for x
    x = 16,497,010,205.47/106,206.19
  6. Step 6: Final answer
    x = 155,330.03

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.