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Finding the Third Proportional to 180,970.56 and 393,455.18

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Solution

The third proportional to 180,970.56 and 393,455.18 is: 855,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,970.56 : 393,455.18 = 393,455.18 : x
  2. Step 2: Convert to fraction form
    180,970.56/393,455.18 = 393,455.18/x
  3. Step 3: Cross multiply
    180,970.56x = 393,455.18 × 393,455.18
  4. Step 4: Simplify right side
    180,970.56x = 154,806,978,422.92
  5. Step 5: Solve for x
    x = 154,806,978,422.92/180,970.56
  6. Step 6: Final answer
    x = 855,426.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.