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Finding the Third Proportional to 365.06 and 777.66

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Solution

The third proportional to 365.06 and 777.66 is: 1,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 777.66 = 777.66 : x
  2. Step 2: Convert to fraction form
    365.06/777.66 = 777.66/x
  3. Step 3: Cross multiply
    365.06x = 777.66 × 777.66
  4. Step 4: Simplify right side
    365.06x = 604,749.24
  5. Step 5: Solve for x
    x = 604,749.24/365.06
  6. Step 6: Final answer
    x = 1,656.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.