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Finding the Third Proportional to 106,128.56 and 157,750.03

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Solution

The third proportional to 106,128.56 and 157,750.03 is: 234,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,128.56 : 157,750.03 = 157,750.03 : x
  2. Step 2: Convert to fraction form
    106,128.56/157,750.03 = 157,750.03/x
  3. Step 3: Cross multiply
    106,128.56x = 157,750.03 × 157,750.03
  4. Step 4: Simplify right side
    106,128.56x = 24,885,072,359.38
  5. Step 5: Solve for x
    x = 24,885,072,359.38/106,128.56
  6. Step 6: Final answer
    x = 234,480.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.