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Finding the Third Proportional to 1,042.24 and 1,520.65

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Solution

The third proportional to 1,042.24 and 1,520.65 is: 2,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.24 : 1,520.65 = 1,520.65 : x
  2. Step 2: Convert to fraction form
    1,042.24/1,520.65 = 1,520.65/x
  3. Step 3: Cross multiply
    1,042.24x = 1,520.65 × 1,520.65
  4. Step 4: Simplify right side
    1,042.24x = 2,312,371.67
  5. Step 5: Solve for x
    x = 2,312,371.67/1,042.24
  6. Step 6: Final answer
    x = 2,218.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.