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Finding the Third Proportional to 393,762 and 804,129

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Solution

The third proportional to 393,762 and 804,129 is: 1,642,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,762 : 804,129 = 804,129 : x
  2. Step 2: Convert to fraction form
    393,762/804,129 = 804,129/x
  3. Step 3: Cross multiply
    393,762x = 804,129 × 804,129
  4. Step 4: Simplify right side
    393,762x = 646,623,448,641
  5. Step 5: Solve for x
    x = 646,623,448,641/393,762
  6. Step 6: Final answer
    x = 1,642,168.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.