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Finding the Third Proportional to 715.69 and 1,083.47

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Solution

The third proportional to 715.69 and 1,083.47 is: 1,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.69 : 1,083.47 = 1,083.47 : x
  2. Step 2: Convert to fraction form
    715.69/1,083.47 = 1,083.47/x
  3. Step 3: Cross multiply
    715.69x = 1,083.47 × 1,083.47
  4. Step 4: Simplify right side
    715.69x = 1,173,904.53
  5. Step 5: Solve for x
    x = 1,173,904.53/715.69
  6. Step 6: Final answer
    x = 1,640.25

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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.