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Finding the Third Proportional to 511.63 and 1,121.98

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Solution

The third proportional to 511.63 and 1,121.98 is: 2,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 1,121.98 = 1,121.98 : x
  2. Step 2: Convert to fraction form
    511.63/1,121.98 = 1,121.98/x
  3. Step 3: Cross multiply
    511.63x = 1,121.98 × 1,121.98
  4. Step 4: Simplify right side
    511.63x = 1,258,831.41
  5. Step 5: Solve for x
    x = 1,258,831.41/511.63
  6. Step 6: Final answer
    x = 2,460.44

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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.