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Finding the Third Proportional to 1,919.32 and 2,898.91

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Solution

The third proportional to 1,919.32 and 2,898.91 is: 4,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.32 : 2,898.91 = 2,898.91 : x
  2. Step 2: Convert to fraction form
    1,919.32/2,898.91 = 2,898.91/x
  3. Step 3: Cross multiply
    1,919.32x = 2,898.91 × 2,898.91
  4. Step 4: Simplify right side
    1,919.32x = 8,403,702.74
  5. Step 5: Solve for x
    x = 8,403,702.74/1,919.32
  6. Step 6: Final answer
    x = 4,378.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.