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Finding the Third Proportional to 715.84 and 1,491.44

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Solution

The third proportional to 715.84 and 1,491.44 is: 3,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.84 : 1,491.44 = 1,491.44 : x
  2. Step 2: Convert to fraction form
    715.84/1,491.44 = 1,491.44/x
  3. Step 3: Cross multiply
    715.84x = 1,491.44 × 1,491.44
  4. Step 4: Simplify right side
    715.84x = 2,224,385.82
  5. Step 5: Solve for x
    x = 2,224,385.82/715.84
  6. Step 6: Final answer
    x = 3,107.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.