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Finding the Third Proportional to 139,029.75 and 305,130.38

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Solution

The third proportional to 139,029.75 and 305,130.38 is: 669,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,029.75 : 305,130.38 = 305,130.38 : x
  2. Step 2: Convert to fraction form
    139,029.75/305,130.38 = 305,130.38/x
  3. Step 3: Cross multiply
    139,029.75x = 305,130.38 × 305,130.38
  4. Step 4: Simplify right side
    139,029.75x = 93,104,545,747.64
  5. Step 5: Solve for x
    x = 93,104,545,747.64/139,029.75
  6. Step 6: Final answer
    x = 669,673.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.