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Finding the Third Proportional to 715.78 and 1,497.09

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Solution

The third proportional to 715.78 and 1,497.09 is: 3,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.78 : 1,497.09 = 1,497.09 : x
  2. Step 2: Convert to fraction form
    715.78/1,497.09 = 1,497.09/x
  3. Step 3: Cross multiply
    715.78x = 1,497.09 × 1,497.09
  4. Step 4: Simplify right side
    715.78x = 2,241,289.70
  5. Step 5: Solve for x
    x = 2,241,289.70/715.78
  6. Step 6: Final answer
    x = 3,131.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.