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Finding the Third Proportional to 505.13 and 778.56

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Solution

The third proportional to 505.13 and 778.56 is: 1,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.13 : 778.56 = 778.56 : x
  2. Step 2: Convert to fraction form
    505.13/778.56 = 778.56/x
  3. Step 3: Cross multiply
    505.13x = 778.56 × 778.56
  4. Step 4: Simplify right side
    505.13x = 606,159.57
  5. Step 5: Solve for x
    x = 606,159.57/505.13
  6. Step 6: Final answer
    x = 1,200.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.