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Finding the Third Proportional to 183,728 and 305,720

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Solution

The third proportional to 183,728 and 305,720 is: 508,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,728 : 305,720 = 305,720 : x
  2. Step 2: Convert to fraction form
    183,728/305,720 = 305,720/x
  3. Step 3: Cross multiply
    183,728x = 305,720 × 305,720
  4. Step 4: Simplify right side
    183,728x = 93,464,718,400
  5. Step 5: Solve for x
    x = 93,464,718,400/183,728
  6. Step 6: Final answer
    x = 508,712.44

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.