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Finding the Third Proportional to 66,880.69 and 146,646.56

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Solution

The third proportional to 66,880.69 and 146,646.56 is: 321,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,880.69 : 146,646.56 = 146,646.56 : x
  2. Step 2: Convert to fraction form
    66,880.69/146,646.56 = 146,646.56/x
  3. Step 3: Cross multiply
    66,880.69x = 146,646.56 × 146,646.56
  4. Step 4: Simplify right side
    66,880.69x = 21,505,214,293.07
  5. Step 5: Solve for x
    x = 21,505,214,293.07/66,880.69
  6. Step 6: Final answer
    x = 321,545.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.