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Finding the Third Proportional to 144,605.25 and 311,414.63

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Solution

The third proportional to 144,605.25 and 311,414.63 is: 670,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,605.25 : 311,414.63 = 311,414.63 : x
  2. Step 2: Convert to fraction form
    144,605.25/311,414.63 = 311,414.63/x
  3. Step 3: Cross multiply
    144,605.25x = 311,414.63 × 311,414.63
  4. Step 4: Simplify right side
    144,605.25x = 96,979,068,663.89
  5. Step 5: Solve for x
    x = 96,979,068,663.89/144,605.25
  6. Step 6: Final answer
    x = 670,646.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.