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Finding the Third Proportional to 76,288.71 and 154,653.36

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Solution

The third proportional to 76,288.71 and 154,653.36 is: 313,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,288.71 : 154,653.36 = 154,653.36 : x
  2. Step 2: Convert to fraction form
    76,288.71/154,653.36 = 154,653.36/x
  3. Step 3: Cross multiply
    76,288.71x = 154,653.36 × 154,653.36
  4. Step 4: Simplify right side
    76,288.71x = 23,917,662,774.20
  5. Step 5: Solve for x
    x = 23,917,662,774.20/76,288.71
  6. Step 6: Final answer
    x = 313,515.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.