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Finding the Third Proportional to 2,580 and 3,140.25

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Solution

The third proportional to 2,580 and 3,140.25 is: 3,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580 : 3,140.25 = 3,140.25 : x
  2. Step 2: Convert to fraction form
    2,580/3,140.25 = 3,140.25/x
  3. Step 3: Cross multiply
    2,580x = 3,140.25 × 3,140.25
  4. Step 4: Simplify right side
    2,580x = 9,861,170.06
  5. Step 5: Solve for x
    x = 9,861,170.06/2,580
  6. Step 6: Final answer
    x = 3,822.16

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.