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Finding the Third Proportional to 77,476.50 and 119,631.94

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Solution

The third proportional to 77,476.50 and 119,631.94 is: 184,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,476.50 : 119,631.94 = 119,631.94 : x
  2. Step 2: Convert to fraction form
    77,476.50/119,631.94 = 119,631.94/x
  3. Step 3: Cross multiply
    77,476.50x = 119,631.94 × 119,631.94
  4. Step 4: Simplify right side
    77,476.50x = 14,311,800,470.00
  5. Step 5: Solve for x
    x = 14,311,800,470.00/77,476.50
  6. Step 6: Final answer
    x = 184,724.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.