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Finding the Third Proportional to 139,452 and 305,516

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Solution

The third proportional to 139,452 and 305,516 is: 669,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,452 : 305,516 = 305,516 : x
  2. Step 2: Convert to fraction form
    139,452/305,516 = 305,516/x
  3. Step 3: Cross multiply
    139,452x = 305,516 × 305,516
  4. Step 4: Simplify right side
    139,452x = 93,340,026,256
  5. Step 5: Solve for x
    x = 93,340,026,256/139,452
  6. Step 6: Final answer
    x = 669,334.44

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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.