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Finding the Third Proportional to 445,824 and 684,288

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Solution

The third proportional to 445,824 and 684,288 is: 1,050,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,824 : 684,288 = 684,288 : x
  2. Step 2: Convert to fraction form
    445,824/684,288 = 684,288/x
  3. Step 3: Cross multiply
    445,824x = 684,288 × 684,288
  4. Step 4: Simplify right side
    445,824x = 468,250,066,944
  5. Step 5: Solve for x
    x = 468,250,066,944/445,824
  6. Step 6: Final answer
    x = 1,050,302.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.