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Finding the Third Proportional to 66,048 and 145,216

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Solution

The third proportional to 66,048 and 145,216 is: 319,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,048 : 145,216 = 145,216 : x
  2. Step 2: Convert to fraction form
    66,048/145,216 = 145,216/x
  3. Step 3: Cross multiply
    66,048x = 145,216 × 145,216
  4. Step 4: Simplify right side
    66,048x = 21,087,686,656
  5. Step 5: Solve for x
    x = 21,087,686,656/66,048
  6. Step 6: Final answer
    x = 319,278.20

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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.