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Finding the Third Proportional to 139,680 and 305,440

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Solution

The third proportional to 139,680 and 305,440 is: 667,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,680 : 305,440 = 305,440 : x
  2. Step 2: Convert to fraction form
    139,680/305,440 = 305,440/x
  3. Step 3: Cross multiply
    139,680x = 305,440 × 305,440
  4. Step 4: Simplify right side
    139,680x = 93,293,593,600
  5. Step 5: Solve for x
    x = 93,293,593,600/139,680
  6. Step 6: Final answer
    x = 667,909.46

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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.