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Finding the Third Proportional to 139,512 and 302,664

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Solution

The third proportional to 139,512 and 302,664 is: 656,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,512 : 302,664 = 302,664 : x
  2. Step 2: Convert to fraction form
    139,512/302,664 = 302,664/x
  3. Step 3: Cross multiply
    139,512x = 302,664 × 302,664
  4. Step 4: Simplify right side
    139,512x = 91,605,496,896
  5. Step 5: Solve for x
    x = 91,605,496,896/139,512
  6. Step 6: Final answer
    x = 656,613.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.