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Finding the Third Proportional to 186,928.50 and 289,992

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Solution

The third proportional to 186,928.50 and 289,992 is: 449,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,928.50 : 289,992 = 289,992 : x
  2. Step 2: Convert to fraction form
    186,928.50/289,992 = 289,992/x
  3. Step 3: Cross multiply
    186,928.50x = 289,992 × 289,992
  4. Step 4: Simplify right side
    186,928.50x = 84,095,360,064
  5. Step 5: Solve for x
    x = 84,095,360,064/186,928.50
  6. Step 6: Final answer
    x = 449,879.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.