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Finding the Third Proportional to 392,313.06 and 831,705.47

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Solution

The third proportional to 392,313.06 and 831,705.47 is: 1,763,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,313.06 : 831,705.47 = 831,705.47 : x
  2. Step 2: Convert to fraction form
    392,313.06/831,705.47 = 831,705.47/x
  3. Step 3: Cross multiply
    392,313.06x = 831,705.47 × 831,705.47
  4. Step 4: Simplify right side
    392,313.06x = 691,733,986,748.66
  5. Step 5: Solve for x
    x = 691,733,986,748.66/392,313.06
  6. Step 6: Final answer
    x = 1,763,219.38

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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.