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Finding the Third Proportional to 392,322.66 and 831,731.63

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Solution

The third proportional to 392,322.66 and 831,731.63 is: 1,763,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,322.66 : 831,731.63 = 831,731.63 : x
  2. Step 2: Convert to fraction form
    392,322.66/831,731.63 = 831,731.63/x
  3. Step 3: Cross multiply
    392,322.66x = 831,731.63 × 831,731.63
  4. Step 4: Simplify right side
    392,322.66x = 691,777,496,025.14
  5. Step 5: Solve for x
    x = 691,777,496,025.14/392,322.66
  6. Step 6: Final answer
    x = 1,763,287.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.