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Finding the Third Proportional to 128,139.75 and 197,228.25

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Solution

The third proportional to 128,139.75 and 197,228.25 is: 303,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,139.75 : 197,228.25 = 197,228.25 : x
  2. Step 2: Convert to fraction form
    128,139.75/197,228.25 = 197,228.25/x
  3. Step 3: Cross multiply
    128,139.75x = 197,228.25 × 197,228.25
  4. Step 4: Simplify right side
    128,139.75x = 38,898,982,598.06
  5. Step 5: Solve for x
    x = 38,898,982,598.06/128,139.75
  6. Step 6: Final answer
    x = 303,566.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.