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Finding the Third Proportional to 128,602.69 and 195,469.03

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Solution

The third proportional to 128,602.69 and 195,469.03 is: 297,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,602.69 : 195,469.03 = 195,469.03 : x
  2. Step 2: Convert to fraction form
    128,602.69/195,469.03 = 195,469.03/x
  3. Step 3: Cross multiply
    128,602.69x = 195,469.03 × 195,469.03
  4. Step 4: Simplify right side
    128,602.69x = 38,208,142,177.81
  5. Step 5: Solve for x
    x = 38,208,142,177.81/128,602.69
  6. Step 6: Final answer
    x = 297,102.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.