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Finding the Third Proportional to 76,989.23 and 108,359.02

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Solution

The third proportional to 76,989.23 and 108,359.02 is: 152,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,989.23 : 108,359.02 = 108,359.02 : x
  2. Step 2: Convert to fraction form
    76,989.23/108,359.02 = 108,359.02/x
  3. Step 3: Cross multiply
    76,989.23x = 108,359.02 × 108,359.02
  4. Step 4: Simplify right side
    76,989.23x = 11,741,676,267.22
  5. Step 5: Solve for x
    x = 11,741,676,267.22/76,989.23
  6. Step 6: Final answer
    x = 152,510.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.