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Finding the Third Proportional to 492,079 and 628,768

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Solution

The third proportional to 492,079 and 628,768 is: 803,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,079 : 628,768 = 628,768 : x
  2. Step 2: Convert to fraction form
    492,079/628,768 = 628,768/x
  3. Step 3: Cross multiply
    492,079x = 628,768 × 628,768
  4. Step 4: Simplify right side
    492,079x = 395,349,197,824
  5. Step 5: Solve for x
    x = 395,349,197,824/492,079
  6. Step 6: Final answer
    x = 803,426.27

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.