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Finding the Third Proportional to 780.25 and 1,702.75

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Solution

The third proportional to 780.25 and 1,702.75 is: 3,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.25 : 1,702.75 = 1,702.75 : x
  2. Step 2: Convert to fraction form
    780.25/1,702.75 = 1,702.75/x
  3. Step 3: Cross multiply
    780.25x = 1,702.75 × 1,702.75
  4. Step 4: Simplify right side
    780.25x = 2,899,357.56
  5. Step 5: Solve for x
    x = 2,899,357.56/780.25
  6. Step 6: Final answer
    x = 3,715.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.