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Finding the Third Proportional to 66,328 and 144,988

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Solution

The third proportional to 66,328 and 144,988 is: 316,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,328 : 144,988 = 144,988 : x
  2. Step 2: Convert to fraction form
    66,328/144,988 = 144,988/x
  3. Step 3: Cross multiply
    66,328x = 144,988 × 144,988
  4. Step 4: Simplify right side
    66,328x = 21,021,520,144
  5. Step 5: Solve for x
    x = 21,021,520,144/66,328
  6. Step 6: Final answer
    x = 316,932.82

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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.