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Finding the Third Proportional to 445,728 and 940,656

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Solution

The third proportional to 445,728 and 940,656 is: 1,985,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,728 : 940,656 = 940,656 : x
  2. Step 2: Convert to fraction form
    445,728/940,656 = 940,656/x
  3. Step 3: Cross multiply
    445,728x = 940,656 × 940,656
  4. Step 4: Simplify right side
    445,728x = 884,833,710,336
  5. Step 5: Solve for x
    x = 884,833,710,336/445,728
  6. Step 6: Final answer
    x = 1,985,142.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.