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Finding the Third Proportional to 76,109.63 and 108,178.88

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Solution

The third proportional to 76,109.63 and 108,178.88 is: 153,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,109.63 : 108,178.88 = 108,178.88 : x
  2. Step 2: Convert to fraction form
    76,109.63/108,178.88 = 108,178.88/x
  3. Step 3: Cross multiply
    76,109.63x = 108,178.88 × 108,178.88
  4. Step 4: Simplify right side
    76,109.63x = 11,702,668,996.27
  5. Step 5: Solve for x
    x = 11,702,668,996.27/76,109.63
  6. Step 6: Final answer
    x = 153,760.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.