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Finding the Third Proportional to 218,046.94 and 319,894.31

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Solution

The third proportional to 218,046.94 and 319,894.31 is: 469,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,046.94 : 319,894.31 = 319,894.31 : x
  2. Step 2: Convert to fraction form
    218,046.94/319,894.31 = 319,894.31/x
  3. Step 3: Cross multiply
    218,046.94x = 319,894.31 × 319,894.31
  4. Step 4: Simplify right side
    218,046.94x = 102,332,371,169.85
  5. Step 5: Solve for x
    x = 102,332,371,169.85/218,046.94
  6. Step 6: Final answer
    x = 469,313.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.