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Finding the Third Proportional to 106,425 and 142,011

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Solution

The third proportional to 106,425 and 142,011 is: 189,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,425 : 142,011 = 142,011 : x
  2. Step 2: Convert to fraction form
    106,425/142,011 = 142,011/x
  3. Step 3: Cross multiply
    106,425x = 142,011 × 142,011
  4. Step 4: Simplify right side
    106,425x = 20,167,124,121
  5. Step 5: Solve for x
    x = 20,167,124,121/106,425
  6. Step 6: Final answer
    x = 189,496.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.