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Finding the Third Proportional to 77,794.31 and 158,441.63

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Solution

The third proportional to 77,794.31 and 158,441.63 is: 322,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,794.31 : 158,441.63 = 158,441.63 : x
  2. Step 2: Convert to fraction form
    77,794.31/158,441.63 = 158,441.63/x
  3. Step 3: Cross multiply
    77,794.31x = 158,441.63 × 158,441.63
  4. Step 4: Simplify right side
    77,794.31x = 25,103,748,532.64
  5. Step 5: Solve for x
    x = 25,103,748,532.64/77,794.31
  6. Step 6: Final answer
    x = 322,693.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.