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Finding the Third Proportional to 340.25 and 700.63

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Solution

The third proportional to 340.25 and 700.63 is: 1,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.25 : 700.63 = 700.63 : x
  2. Step 2: Convert to fraction form
    340.25/700.63 = 700.63/x
  3. Step 3: Cross multiply
    340.25x = 700.63 × 700.63
  4. Step 4: Simplify right side
    340.25x = 490,875.39
  5. Step 5: Solve for x
    x = 490,875.39/340.25
  6. Step 6: Final answer
    x = 1,442.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.