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Finding the Third Proportional to 476,784 and 720,036

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Solution

The third proportional to 476,784 and 720,036 is: 1,087,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,784 : 720,036 = 720,036 : x
  2. Step 2: Convert to fraction form
    476,784/720,036 = 720,036/x
  3. Step 3: Cross multiply
    476,784x = 720,036 × 720,036
  4. Step 4: Simplify right side
    476,784x = 518,451,841,296
  5. Step 5: Solve for x
    x = 518,451,841,296/476,784
  6. Step 6: Final answer
    x = 1,087,393.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.