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Finding the Third Proportional to 1,750.36 and 4,546.76

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Solution

The third proportional to 1,750.36 and 4,546.76 is: 11,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.36 : 4,546.76 = 4,546.76 : x
  2. Step 2: Convert to fraction form
    1,750.36/4,546.76 = 4,546.76/x
  3. Step 3: Cross multiply
    1,750.36x = 4,546.76 × 4,546.76
  4. Step 4: Simplify right side
    1,750.36x = 20,673,006.61
  5. Step 5: Solve for x
    x = 20,673,006.61/1,750.36
  6. Step 6: Final answer
    x = 11,810.72

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.