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Finding the Third Proportional to 1,780.88 and 2,031.75

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Solution

The third proportional to 1,780.88 and 2,031.75 is: 2,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.88 : 2,031.75 = 2,031.75 : x
  2. Step 2: Convert to fraction form
    1,780.88/2,031.75 = 2,031.75/x
  3. Step 3: Cross multiply
    1,780.88x = 2,031.75 × 2,031.75
  4. Step 4: Simplify right side
    1,780.88x = 4,128,008.06
  5. Step 5: Solve for x
    x = 4,128,008.06/1,780.88
  6. Step 6: Final answer
    x = 2,317.97

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.