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Finding the Third Proportional to 1,488.38 and 2,117.44

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Solution

The third proportional to 1,488.38 and 2,117.44 is: 3,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.38 : 2,117.44 = 2,117.44 : x
  2. Step 2: Convert to fraction form
    1,488.38/2,117.44 = 2,117.44/x
  3. Step 3: Cross multiply
    1,488.38x = 2,117.44 × 2,117.44
  4. Step 4: Simplify right side
    1,488.38x = 4,483,541.57
  5. Step 5: Solve for x
    x = 4,483,541.57/1,488.38
  6. Step 6: Final answer
    x = 3,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.