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Finding the Third Proportional to 1,980 and 4,357

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Solution

The third proportional to 1,980 and 4,357 is: 9,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 4,357 = 4,357 : x
  2. Step 2: Convert to fraction form
    1,980/4,357 = 4,357/x
  3. Step 3: Cross multiply
    1,980x = 4,357 × 4,357
  4. Step 4: Simplify right side
    1,980x = 18,983,449
  5. Step 5: Solve for x
    x = 18,983,449/1,980
  6. Step 6: Final answer
    x = 9,587.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.