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Finding the Third Proportional to 340.77 and 686.29

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Solution

The third proportional to 340.77 and 686.29 is: 1,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.77 : 686.29 = 686.29 : x
  2. Step 2: Convert to fraction form
    340.77/686.29 = 686.29/x
  3. Step 3: Cross multiply
    340.77x = 686.29 × 686.29
  4. Step 4: Simplify right side
    340.77x = 470,987.32
  5. Step 5: Solve for x
    x = 470,987.32/340.77
  6. Step 6: Final answer
    x = 1,382.13

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.