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Finding the Third Proportional to 106,935.19 and 143,100.42

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Solution

The third proportional to 106,935.19 and 143,100.42 is: 191,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,935.19 : 143,100.42 = 143,100.42 : x
  2. Step 2: Convert to fraction form
    106,935.19/143,100.42 = 143,100.42/x
  3. Step 3: Cross multiply
    106,935.19x = 143,100.42 × 143,100.42
  4. Step 4: Simplify right side
    106,935.19x = 20,477,730,740.80
  5. Step 5: Solve for x
    x = 20,477,730,740.80/106,935.19
  6. Step 6: Final answer
    x = 191,496.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.