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Finding the Third Proportional to 1,420.88 and 1,956.66

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Solution

The third proportional to 1,420.88 and 1,956.66 is: 2,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.88 : 1,956.66 = 1,956.66 : x
  2. Step 2: Convert to fraction form
    1,420.88/1,956.66 = 1,956.66/x
  3. Step 3: Cross multiply
    1,420.88x = 1,956.66 × 1,956.66
  4. Step 4: Simplify right side
    1,420.88x = 3,828,503.68
  5. Step 5: Solve for x
    x = 3,828,503.68/1,420.88
  6. Step 6: Final answer
    x = 2,694.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.