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Finding the Third Proportional to 777.66 and 1,707.05

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Solution

The third proportional to 777.66 and 1,707.05 is: 3,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.66 : 1,707.05 = 1,707.05 : x
  2. Step 2: Convert to fraction form
    777.66/1,707.05 = 1,707.05/x
  3. Step 3: Cross multiply
    777.66x = 1,707.05 × 1,707.05
  4. Step 4: Simplify right side
    777.66x = 2,914,009.03
  5. Step 5: Solve for x
    x = 2,914,009.03/777.66
  6. Step 6: Final answer
    x = 3,747.17

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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.