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Finding the Third Proportional to 697.69 and 975.47

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Solution

The third proportional to 697.69 and 975.47 is: 1,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.69 : 975.47 = 975.47 : x
  2. Step 2: Convert to fraction form
    697.69/975.47 = 975.47/x
  3. Step 3: Cross multiply
    697.69x = 975.47 × 975.47
  4. Step 4: Simplify right side
    697.69x = 951,539.28
  5. Step 5: Solve for x
    x = 951,539.28/697.69
  6. Step 6: Final answer
    x = 1,363.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.