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Finding the Third Proportional to 117,978.19 and 176,979.94

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Solution

The third proportional to 117,978.19 and 176,979.94 is: 265,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,978.19 : 176,979.94 = 176,979.94 : x
  2. Step 2: Convert to fraction form
    117,978.19/176,979.94 = 176,979.94/x
  3. Step 3: Cross multiply
    117,978.19x = 176,979.94 × 176,979.94
  4. Step 4: Simplify right side
    117,978.19x = 31,321,898,277.50
  5. Step 5: Solve for x
    x = 31,321,898,277.50/117,978.19
  6. Step 6: Final answer
    x = 265,488.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.