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Finding the Third Proportional to 1,978 and 3,560

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Solution

The third proportional to 1,978 and 3,560 is: 6,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978 : 3,560 = 3,560 : x
  2. Step 2: Convert to fraction form
    1,978/3,560 = 3,560/x
  3. Step 3: Cross multiply
    1,978x = 3,560 × 3,560
  4. Step 4: Simplify right side
    1,978x = 12,673,600
  5. Step 5: Solve for x
    x = 12,673,600/1,978
  6. Step 6: Final answer
    x = 6,407.28

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.