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Finding the Third Proportional to 77,631.75 and 158,116.50

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Solution

The third proportional to 77,631.75 and 158,116.50 is: 322,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,631.75 : 158,116.50 = 158,116.50 : x
  2. Step 2: Convert to fraction form
    77,631.75/158,116.50 = 158,116.50/x
  3. Step 3: Cross multiply
    77,631.75x = 158,116.50 × 158,116.50
  4. Step 4: Simplify right side
    77,631.75x = 25,000,827,572.25
  5. Step 5: Solve for x
    x = 25,000,827,572.25/77,631.75
  6. Step 6: Final answer
    x = 322,043.85

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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.