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Finding the Third Proportional to 920.74 and 1,519.70

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Solution

The third proportional to 920.74 and 1,519.70 is: 2,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.74 : 1,519.70 = 1,519.70 : x
  2. Step 2: Convert to fraction form
    920.74/1,519.70 = 1,519.70/x
  3. Step 3: Cross multiply
    920.74x = 1,519.70 × 1,519.70
  4. Step 4: Simplify right side
    920.74x = 2,309,485.72
  5. Step 5: Solve for x
    x = 2,309,485.72/920.74
  6. Step 6: Final answer
    x = 2,508.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.