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Finding the Third Proportional to 778.56 and 1,710.94

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Solution

The third proportional to 778.56 and 1,710.94 is: 3,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.56 : 1,710.94 = 1,710.94 : x
  2. Step 2: Convert to fraction form
    778.56/1,710.94 = 1,710.94/x
  3. Step 3: Cross multiply
    778.56x = 1,710.94 × 1,710.94
  4. Step 4: Simplify right side
    778.56x = 2,927,307.13
  5. Step 5: Solve for x
    x = 2,927,307.13/778.56
  6. Step 6: Final answer
    x = 3,759.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.