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Finding the Third Proportional to 318,687.75 and 684,743.63

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Solution

The third proportional to 318,687.75 and 684,743.63 is: 1,471,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,687.75 : 684,743.63 = 684,743.63 : x
  2. Step 2: Convert to fraction form
    318,687.75/684,743.63 = 684,743.63/x
  3. Step 3: Cross multiply
    318,687.75x = 684,743.63 × 684,743.63
  4. Step 4: Simplify right side
    318,687.75x = 468,873,831,978.14
  5. Step 5: Solve for x
    x = 468,873,831,978.14/318,687.75
  6. Step 6: Final answer
    x = 1,471,264.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.