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Finding the Third Proportional to 378,806.63 and 813,062.81

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Solution

The third proportional to 378,806.63 and 813,062.81 is: 1,745,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,806.63 : 813,062.81 = 813,062.81 : x
  2. Step 2: Convert to fraction form
    378,806.63/813,062.81 = 813,062.81/x
  3. Step 3: Cross multiply
    378,806.63x = 813,062.81 × 813,062.81
  4. Step 4: Simplify right side
    378,806.63x = 661,071,137,070.41
  5. Step 5: Solve for x
    x = 661,071,137,070.41/378,806.63
  6. Step 6: Final answer
    x = 1,745,141.43

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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.