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Finding the Third Proportional to 1,580 and 4,148

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Solution

The third proportional to 1,580 and 4,148 is: 10,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580 : 4,148 = 4,148 : x
  2. Step 2: Convert to fraction form
    1,580/4,148 = 4,148/x
  3. Step 3: Cross multiply
    1,580x = 4,148 × 4,148
  4. Step 4: Simplify right side
    1,580x = 17,205,904
  5. Step 5: Solve for x
    x = 17,205,904/1,580
  6. Step 6: Final answer
    x = 10,889.81

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.