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Finding the Third Proportional to 715.78 and 1,207.55

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Solution

The third proportional to 715.78 and 1,207.55 is: 2,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.78 : 1,207.55 = 1,207.55 : x
  2. Step 2: Convert to fraction form
    715.78/1,207.55 = 1,207.55/x
  3. Step 3: Cross multiply
    715.78x = 1,207.55 × 1,207.55
  4. Step 4: Simplify right side
    715.78x = 1,458,169.46
  5. Step 5: Solve for x
    x = 1,458,169.46/715.78
  6. Step 6: Final answer
    x = 2,037.17

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.