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Finding the Third Proportional to 1,288.41 and 2,780.58

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Solution

The third proportional to 1,288.41 and 2,780.58 is: 6,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.41 : 2,780.58 = 2,780.58 : x
  2. Step 2: Convert to fraction form
    1,288.41/2,780.58 = 2,780.58/x
  3. Step 3: Cross multiply
    1,288.41x = 2,780.58 × 2,780.58
  4. Step 4: Simplify right side
    1,288.41x = 7,731,614.71
  5. Step 5: Solve for x
    x = 7,731,614.71/1,288.41
  6. Step 6: Final answer
    x = 6,000.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.