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Finding the Third Proportional to 1,978.88 and 3,133.44

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Solution

The third proportional to 1,978.88 and 3,133.44 is: 4,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.88 : 3,133.44 = 3,133.44 : x
  2. Step 2: Convert to fraction form
    1,978.88/3,133.44 = 3,133.44/x
  3. Step 3: Cross multiply
    1,978.88x = 3,133.44 × 3,133.44
  4. Step 4: Simplify right side
    1,978.88x = 9,818,430.57
  5. Step 5: Solve for x
    x = 9,818,430.57/1,978.88
  6. Step 6: Final answer
    x = 4,961.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.