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Finding the Third Proportional to 709.69 and 783.94

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Solution

The third proportional to 709.69 and 783.94 is: 865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.69 : 783.94 = 783.94 : x
  2. Step 2: Convert to fraction form
    709.69/783.94 = 783.94/x
  3. Step 3: Cross multiply
    709.69x = 783.94 × 783.94
  4. Step 4: Simplify right side
    709.69x = 614,558.00
  5. Step 5: Solve for x
    x = 614,558.00/709.69
  6. Step 6: Final answer
    x = 865.96

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.