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Finding the Third Proportional to 1,715 and 4,130

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Solution

The third proportional to 1,715 and 4,130 is: 9,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715 : 4,130 = 4,130 : x
  2. Step 2: Convert to fraction form
    1,715/4,130 = 4,130/x
  3. Step 3: Cross multiply
    1,715x = 4,130 × 4,130
  4. Step 4: Simplify right side
    1,715x = 17,056,900
  5. Step 5: Solve for x
    x = 17,056,900/1,715
  6. Step 6: Final answer
    x = 9,945.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.