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Finding the Third Proportional to 139,032 and 305,135

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Solution

The third proportional to 139,032 and 305,135 is: 669,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,032 : 305,135 = 305,135 : x
  2. Step 2: Convert to fraction form
    139,032/305,135 = 305,135/x
  3. Step 3: Cross multiply
    139,032x = 305,135 × 305,135
  4. Step 4: Simplify right side
    139,032x = 93,107,368,225
  5. Step 5: Solve for x
    x = 93,107,368,225/139,032
  6. Step 6: Final answer
    x = 669,683.01

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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.