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Finding the Third Proportional to 340.16 and 745.15

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Solution

The third proportional to 340.16 and 745.15 is: 1,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 745.15 = 745.15 : x
  2. Step 2: Convert to fraction form
    340.16/745.15 = 745.15/x
  3. Step 3: Cross multiply
    340.16x = 745.15 × 745.15
  4. Step 4: Simplify right side
    340.16x = 555,250.83
  5. Step 5: Solve for x
    x = 555,250.83/340.16
  6. Step 6: Final answer
    x = 1,632.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.