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Finding the Third Proportional to 178,710.21 and 393,403.39

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Solution

The third proportional to 178,710.21 and 393,403.39 is: 866,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,710.21 : 393,403.39 = 393,403.39 : x
  2. Step 2: Convert to fraction form
    178,710.21/393,403.39 = 393,403.39/x
  3. Step 3: Cross multiply
    178,710.21x = 393,403.39 × 393,403.39
  4. Step 4: Simplify right side
    178,710.21x = 154,766,230,828.71
  5. Step 5: Solve for x
    x = 154,766,230,828.71/178,710.21
  6. Step 6: Final answer
    x = 866,017.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.