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Finding the Third Proportional to 1,715.25 and 4,010.63

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Solution

The third proportional to 1,715.25 and 4,010.63 is: 9,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.25 : 4,010.63 = 4,010.63 : x
  2. Step 2: Convert to fraction form
    1,715.25/4,010.63 = 4,010.63/x
  3. Step 3: Cross multiply
    1,715.25x = 4,010.63 × 4,010.63
  4. Step 4: Simplify right side
    1,715.25x = 16,085,112.89
  5. Step 5: Solve for x
    x = 16,085,112.89/1,715.25
  6. Step 6: Final answer
    x = 9,377.71

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.