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Finding the Third Proportional to 624.09 and 978.94

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Solution

The third proportional to 624.09 and 978.94 is: 1,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.09 : 978.94 = 978.94 : x
  2. Step 2: Convert to fraction form
    624.09/978.94 = 978.94/x
  3. Step 3: Cross multiply
    624.09x = 978.94 × 978.94
  4. Step 4: Simplify right side
    624.09x = 958,318.63
  5. Step 5: Solve for x
    x = 958,318.63/624.09
  6. Step 6: Final answer
    x = 1,535.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.