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Finding the Third Proportional to 1,230 and 2,580

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Solution

The third proportional to 1,230 and 2,580 is: 5,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230 : 2,580 = 2,580 : x
  2. Step 2: Convert to fraction form
    1,230/2,580 = 2,580/x
  3. Step 3: Cross multiply
    1,230x = 2,580 × 2,580
  4. Step 4: Simplify right side
    1,230x = 6,656,400
  5. Step 5: Solve for x
    x = 6,656,400/1,230
  6. Step 6: Final answer
    x = 5,411.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.