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Finding the Third Proportional to 179,989.50 and 386,689.69

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Solution

The third proportional to 179,989.50 and 386,689.69 is: 830,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,989.50 : 386,689.69 = 386,689.69 : x
  2. Step 2: Convert to fraction form
    179,989.50/386,689.69 = 386,689.69/x
  3. Step 3: Cross multiply
    179,989.50x = 386,689.69 × 386,689.69
  4. Step 4: Simplify right side
    179,989.50x = 149,528,914,418.85
  5. Step 5: Solve for x
    x = 149,528,914,418.85/179,989.50
  6. Step 6: Final answer
    x = 830,764.65

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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.