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Finding the Third Proportional to 715.92 and 783.42

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Solution

The third proportional to 715.92 and 783.42 is: 857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.92 : 783.42 = 783.42 : x
  2. Step 2: Convert to fraction form
    715.92/783.42 = 783.42/x
  3. Step 3: Cross multiply
    715.92x = 783.42 × 783.42
  4. Step 4: Simplify right side
    715.92x = 613,749.83
  5. Step 5: Solve for x
    x = 613,749.83/715.92
  6. Step 6: Final answer
    x = 857.29

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.