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Finding the Third Proportional to 180,682.31 and 393,535.13

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Solution

The third proportional to 180,682.31 and 393,535.13 is: 857,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,682.31 : 393,535.13 = 393,535.13 : x
  2. Step 2: Convert to fraction form
    180,682.31/393,535.13 = 393,535.13/x
  3. Step 3: Cross multiply
    180,682.31x = 393,535.13 × 393,535.13
  4. Step 4: Simplify right side
    180,682.31x = 154,869,894,608.77
  5. Step 5: Solve for x
    x = 154,869,894,608.77/180,682.31
  6. Step 6: Final answer
    x = 857,139.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.